Search a number
-
+
99860352 = 2731913687
BaseRepresentation
bin1011111001110…
…11111110000000
320221220102122120
411330323332000
5201031012402
613524204240
72321541024
oct574737600
9227812576
1099860352
1151406619
1229539680
13178c5087
14d396384
158b783bc
hex5f3bf80

99860352 has 64 divisors (see below), whose sum is σ = 279235200. Its totient is φ = 31532544.

The previous prime is 99860347. The next prime is 99860353. The reversal of 99860352 is 25306899.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99860353) 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, 453 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (4363050).

Almost surely, 299860352 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 99860352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139617600).

99860352 is an abundant number, since it is smaller than the sum of its proper divisors (179374848).

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

99860352 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 99860352 = (29539680)12.

99860352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13723 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 99860352 is about 9993.0151606009. The cubic root of 99860352 is about 463.9427198415.

The spelling of 99860352 in words is "ninety-nine million, eight hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 13687 27374 41061 54748 82122 109496 164244 218992 260053 328488 437984 520106 656976 780159 875968 1040212 1313952 1560318 1751936 2080424 2627904 3120636 4160848 5255808 6241272 8321696 12482544 16643392 24965088 33286784 49930176 99860352