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996481920 = 2735774143
BaseRepresentation
bin111011011001010…
…001101110000000
32120110001112012210
4323121101232000
54020044410140
6242514022120
733456646050
oct7331215600
92513045183
10996481920
11471540685
12239877940
1312b5a7a95
14964b3560
155c738d80
hex3b651b80

996481920 has 128 divisors (see below), whose sum is σ = 3630090240. Its totient is φ = 227764224.

The previous prime is 996481897. The next prime is 996481931. The reversal of 996481920 is 29184699.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 996481920.

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, 23632 + ... + 50511.

It is an arithmetic number, because the mean of its divisors is an integer number (28360080).

Almost surely, 2996481920 is an apocalyptic number.

It is an amenable number.

996481920 is an abundant number, since it is smaller than the sum of its proper divisors (2633608320).

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

996481920 is a wasteful number, since it uses less digits than its factorization.

996481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74172 (or 74160 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 996481920 is about 31567.1018625404. The cubic root of 996481920 is about 998.8259287629.

The spelling of 996481920 in words is "nine hundred ninety-six million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 74143 148286 222429 296572 370715 444858 519001 593144 741430 889716 1038002 1112145 1186288 1482860 1557003 1779432 2076004 2224290 2372576 2595005 2965720 3114006 3558864 4152008 4448580 4745152 5190010 5931440 6228012 7117728 7785015 8304016 8897160 9490304 10380020 11862880 12456024 14235456 15570030 16608032 17794320 20760040 23725760 24912048 28470912 31140060 33216064 35588640 41520080 47451520 49824096 62280120 66432128 71177280 83040160 99648192 124560240 142354560 166080320 199296384 249120480 332160640 498240960 996481920