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1016485120 = 2857412767
BaseRepresentation
bin111100100101100…
…101010100000000
32121211200210110001
4330211211110000
54040210010440
6244510445344
734121660320
oct7445452400
92554623401
101016485120
11481863352
12244503854
1313278c7b1
1498ddd280
155e38ab9a
hex3c965500

1016485120 has 144 divisors (see below), whose sum is σ = 2851527168. Its totient is φ = 339886080.

The previous prime is 1016485117. The next prime is 1016485157. The reversal of 1016485120 is 215846101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365977 + ... + 368743.

It is an arithmetic number, because the mean of its divisors is an integer number (19802272).

Almost surely, 21016485120 is an apocalyptic number.

1016485120 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 1016485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425763584).

1016485120 is an abundant number, since it is smaller than the sum of its proper divisors (1835042048).

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

1016485120 is an equidigital number, since it uses as much as digits as its factorization.

1016485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1016485120 is about 31882.3637768595. The cubic root of 1016485120 is about 1005.4651180746.

The spelling of 1016485120 in words is "one billion, sixteen million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 280 287 320 328 410 448 560 574 640 656 820 896 1120 1148 1280 1312 1435 1640 1792 2240 2296 2624 2767 2870 3280 4480 4592 5248 5534 5740 6560 8960 9184 10496 11068 11480 13120 13835 18368 19369 22136 22960 26240 27670 36736 38738 44272 45920 52480 55340 73472 77476 88544 91840 96845 110680 113447 154952 177088 183680 193690 221360 226894 309904 354176 367360 387380 442720 453788 567235 619808 708352 774760 794129 885440 907576 1134470 1239616 1549520 1588258 1770880 1815152 2268940 2479232 3099040 3176516 3541760 3630304 3970645 4537880 4958464 6198080 6353032 7260608 7941290 9075760 12396160 12706064 14521216 15882580 18151520 24792320 25412128 29042432 31765160 36303040 50824256 63530320 72606080 101648512 127060640 145212160 203297024 254121280 508242560 1016485120