Search a number
-
+
1051420520 = 2352943107197
BaseRepresentation
bin111110101010110…
…110011101101000
32201021102200210202
4332222312131220
54123130424040
6252155331332
735024632643
oct7652663550
92637380722
101051420520
1149a554887
12254150b48
13139aa2027
149d8d4a5a
156248c015
hex3eab6768

1051420520 has 128 divisors (see below), whose sum is σ = 2540419200. Its totient is φ = 390921216.

The previous prime is 1051420463. The next prime is 1051420547. The reversal of 1051420520 is 250241501.

It is a super-2 number, since 2×10514205202 = 2210970219754140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1051420492 and 1051420501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5337062 + ... + 5337258.

It is an arithmetic number, because the mean of its divisors is an integer number (19847025).

Almost surely, 21051420520 is an apocalyptic number.

1051420520 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 1051420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270209600).

1051420520 is an abundant number, since it is smaller than the sum of its proper divisors (1488998680).

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

1051420520 is a wasteful number, since it uses less digits than its factorization.

1051420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1051420520 is about 32425.6151830617. The cubic root of 1051420520 is about 1016.8545030823.

The spelling of 1051420520 in words is "one billion, fifty-one million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 107 116 145 172 197 214 215 232 290 344 394 428 430 535 580 788 856 860 985 1070 1160 1247 1576 1720 1970 2140 2494 3103 3940 4280 4601 4988 5713 6206 6235 7880 8471 9202 9976 11426 12412 12470 15515 16942 18404 21079 22852 23005 24824 24940 28565 31030 33884 36808 42158 42355 45704 46010 49880 57130 62060 67768 84316 84710 92020 105395 114260 124120 133429 168632 169420 184040 210790 228520 245659 266858 338840 421580 491318 533716 611291 667145 843160 906397 982636 1067432 1222582 1228295 1334290 1812794 1965272 2445164 2456590 2668580 3056455 3625588 4531985 4890328 4913180 5337160 6112910 7251176 9063970 9826360 12225820 18127940 24451640 26285513 36255880 52571026 105142052 131427565 210284104 262855130 525710260 1051420520