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996801400 = 235273532017
BaseRepresentation
bin111011011010011…
…111101101111000
32120110122202110101
4323122133231320
54020140121100
6242524525144
733462446350
oct7332375570
92513582411
10996801400
11471739711
122399b07b4
1312b68a31a
1496557b60
155c79d86a
hex3b69fb78

996801400 has 96 divisors (see below), whose sum is σ = 2657463840. Its totient is φ = 340623360.

The previous prime is 996801383. The next prime is 996801413. The reversal of 996801400 is 4108699.

It is a super-2 number, since 2×9968014002 = 1987226062083920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 996801400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493192 + ... + 495208.

It is an arithmetic number, because the mean of its divisors is an integer number (27681915).

Almost surely, 2996801400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328731920).

996801400 is an abundant number, since it is smaller than the sum of its proper divisors (1660662440).

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

996801400 is a wasteful number, since it uses less digits than its factorization.

996801400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 996801400 is about 31572.1617885124. The cubic root of 996801400 is about 998.9326611932.

The spelling of 996801400 in words is "nine hundred ninety-six million, eight hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 353 700 706 1400 1412 1765 2017 2471 2824 3530 4034 4942 7060 8068 8825 9884 10085 12355 14119 14120 16136 17650 19768 20170 24710 28238 35300 40340 49420 50425 56476 61775 70595 70600 80680 98840 100850 112952 123550 141190 201700 247100 282380 352975 403400 494200 564760 705950 712001 1411900 1424002 2823800 2848004 3560005 4984007 5696008 7120010 9968014 14240020 17800025 19936028 24920035 28480040 35600050 39872056 49840070 71200100 99680140 124600175 142400200 199360280 249200350 498400700 996801400