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100097886 = 237223113131
BaseRepresentation
bin1011111011101…
…01111101011110
320222100111111010
411331311331132
5201111113021
613533240050
72323550400
oct575657536
9228314433
10100097886
1151559029
1229633026
1317979225
14d418b70
158bc3976
hex5f75f5e

100097886 has 96 divisors (see below), whose sum is σ = 247027968. Its totient is φ = 26906880.

The previous prime is 100097873. The next prime is 100097891. The reversal of 100097886 is 688790001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764041 + ... + 764171.

It is an arithmetic number, because the mean of its divisors is an integer number (2573208).

Almost surely, 2100097886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100097886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123513984).

100097886 is an abundant number, since it is smaller than the sum of its proper divisors (146930082).

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

100097886 is a wasteful number, since it uses less digits than its factorization.

100097886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 100097886 is about 10004.8931028772. The cubic root of 100097886 is about 464.3102828272.

The spelling of 100097886 in words is "one hundred million, ninety-seven thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 113 131 138 147 161 226 262 294 322 339 393 483 678 786 791 917 966 1127 1582 1834 2254 2373 2599 2751 3013 3381 4746 5198 5502 5537 6026 6419 6762 7797 9039 11074 12838 14803 15594 16611 18078 18193 19257 21091 29606 33222 36386 38514 42182 44409 54579 63273 88818 103621 109158 126546 127351 147637 207242 254702 295274 310863 340469 382053 442911 621726 680938 725347 764106 885822 1021407 1450694 2042814 2176041 2383283 4352082 4766566 7149849 14299698 16682981 33365962 50048943 100097886