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99939968 = 272383409
BaseRepresentation
bin1011111010011…
…11011010000000
320222001110212022
411331033122000
5201041034333
613530021012
72322322112
oct575173200
9228043768
1099939968
1151460417
1229577768
131792239b
14d3b73b2
158b91c98
hex5f4f680

99939968 has 64 divisors (see below), whose sum is σ = 210772800. Its totient is φ = 47106048.

The previous prime is 99939967. The next prime is 99940007. The reversal of 99939968 is 86993999.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 99939968.

It is not an unprimeable number, because it can be changed into a prime (99939967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244148 + ... + 244556.

It is an arithmetic number, because the mean of its divisors is an integer number (3293325).

Almost surely, 299939968 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 99939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386400).

99939968 is an abundant number, since it is smaller than the sum of its proper divisors (110832832).

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

99939968 is a wasteful number, since it uses less digits than its factorization.

99939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 62.

The square root of 99939968 is about 9996.9979493846. The cubic root of 99939968 is about 464.0659834820.

The spelling of 99939968 in words is "ninety-nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 332 368 409 664 736 818 1328 1472 1636 1909 2656 2944 3272 3818 5312 6544 7636 9407 10624 13088 15272 18814 26176 30544 33947 37628 52352 61088 67894 75256 122176 135788 150512 244352 271576 301024 543152 602048 780781 1086304 1204096 1561562 2172608 3123124 4345216 6246248 12492496 24984992 49969984 99939968