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901996116 = 223723594273
BaseRepresentation
bin110101110000110…
…101111001010100
32022212021011001120
4311300311321110
53321402333431
6225300523540
731231561200
oct6560657124
92285234046
10901996116
1142317603a
122120b05b0
13114b45118
1487b19b00
15542c3196
hex35c35e54

901996116 has 72 divisors (see below), whose sum is σ = 2455669440. Its totient is φ = 256935168.

The previous prime is 901996097. The next prime is 901996127. The reversal of 901996116 is 611699109.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 208956 + ... + 213228.

It is an arithmetic number, because the mean of its divisors is an integer number (34106520).

Almost surely, 2901996116 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 901996116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227834720).

901996116 is an abundant number, since it is smaller than the sum of its proper divisors (1553673324).

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

901996116 is a wasteful number, since it uses less digits than its factorization.

901996116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

The square root of 901996116 is about 30033.2501737657. The cubic root of 901996116 is about 966.2026459971.

The spelling of 901996116 in words is "nine hundred one million, nine hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 359 588 718 1077 1436 2154 2513 4273 4308 5026 7539 8546 10052 12819 15078 17092 17591 25638 29911 30156 35182 51276 52773 59822 70364 89733 105546 119644 179466 209377 211092 358932 418754 628131 837508 1256262 1534007 2512524 3068014 4602021 6136028 9204042 10738049 18408084 21476098 32214147 42952196 64428294 75166343 128856588 150332686 225499029 300665372 450998058 901996116