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1074021520 = 2451113223421
BaseRepresentation
bin100000000000100…
…0100010010010000
32202211221221112211
41000001010102100
54144422142040
6254324001504
735421014035
oct10001042220
92684857484
101074021520
115012912a0
1225b830294
131416862c0
14a28d938c
15644538ea
hex40044490

1074021520 has 160 divisors (see below), whose sum is σ = 2953810944. Its totient is φ = 358041600.

The previous prime is 1074021517. The next prime is 1074021523. The reversal of 1074021520 is 251204701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1074021517) and next prime (1074021523).

It is a super-2 number, since 2×10740215202 = 2307044450846220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1074021491 and 1074021500.

It is not an unprimeable number, because it can be changed into a prime (1074021523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550910 + ... + 2551330.

Almost surely, 21074021520 is an apocalyptic number.

1074021520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476905472).

1074021520 is an abundant number, since it is smaller than the sum of its proper divisors (1879789424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1074021520 is a wasteful number, since it uses less digits than its factorization.

1074021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1074021520 is about 32772.2675443736. The cubic root of 1074021520 is about 1024.0889052448.

The spelling of 1074021520 in words is "one billion, seventy-four million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 223 260 286 421 440 446 520 572 715 842 880 892 1040 1115 1144 1430 1684 1784 2105 2230 2288 2453 2860 2899 3368 3568 4210 4460 4631 4906 5473 5720 5798 6736 8420 8920 9262 9812 10946 11440 11596 12265 14495 16840 17840 18524 19624 21892 23155 23192 24530 27365 28990 31889 33680 37048 39248 43784 46310 46384 49060 54730 57980 60203 63778 74096 87568 92620 93883 98120 109460 115960 120406 127556 159445 185240 187766 196240 218920 231920 240812 255112 301015 318890 370480 375532 437840 469415 481624 510224 602030 637780 751064 938830 963248 1032713 1204060 1220479 1275560 1502128 1877660 2065426 2408120 2440958 2551120 3755320 4130852 4816240 4881916 5163565 6102395 7510640 8261704 9763832 10327130 12204790 13425269 16523408 19527664 20654260 24409580 26850538 41308520 48819160 53701076 67126345 82617040 97638320 107402152 134252690 214804304 268505380 537010760 1074021520