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102136704 = 2731913999
BaseRepresentation
bin1100001011001…
…11101110000000
321010012002012220
412011213232000
5202121333304
614045051040
72350101435
oct605475600
9233162186
10102136704
11527208aa
122a256a80
1318211227
14d7c9b8c
158e77ad9
hex6167b80

102136704 has 64 divisors (see below), whose sum is σ = 285600000. Its totient is φ = 32251392.

The previous prime is 102136693. The next prime is 102136717. The reversal of 102136704 is 407631201.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (4462500).

Almost surely, 2102136704 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 102136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800000).

102136704 is an abundant number, since it is smaller than the sum of its proper divisors (183463296).

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

102136704 is a wasteful number, since it uses less digits than its factorization.

102136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102136704 is about 10106.2705287361. The cubic root of 102136704 is about 467.4415136496.

Adding to 102136704 its reverse (407631201), we get a palindrome (509767905).

The spelling of 102136704 in words is "one hundred two million, one hundred thirty-six thousand, seven hundred four".

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 13999 27998 41997 55996 83994 111992 167988 223984 265981 335976 447968 531962 671952 797943 895936 1063924 1343904 1595886 1791872 2127848 2687808 3191772 4255696 5375616 6383544 8511392 12767088 17022784 25534176 34045568 51068352 102136704