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102414204 = 223231163563
BaseRepresentation
bin1100001101010…
…11011101111100
321010201011212200
412012223131330
5202204223304
614055031500
72352335454
oct606533574
9233634780
10102414204
11528a0342
122a36b590
13182aa629
14d85cd64
158ecee39
hex61ab77c

102414204 has 72 divisors (see below), whose sum is σ = 269348352. Its totient is φ = 32775840.

The previous prime is 102414203. The next prime is 102414217. The reversal of 102414204 is 402414201.

102414204 is a `hidden beast` number, since 1 + 0 + 241 + 420 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181627 + ... + 182189.

Almost surely, 2102414204 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 102414204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134674176).

102414204 is an abundant number, since it is smaller than the sum of its proper divisors (166934148).

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

102414204 is a wasteful number, since it uses less digits than its factorization.

102414204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102414204 is about 10119.9903162009. The cubic root of 102414204 is about 467.8644687535.

Adding to 102414204 its reverse (402414201), we get a palindrome (504828405).

The spelling of 102414204 in words is "one hundred two million, four hundred fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 163 186 279 326 372 489 558 563 652 978 1116 1126 1467 1689 1956 2252 2934 3378 5053 5067 5868 6756 10106 10134 15159 17453 20212 20268 30318 34906 45477 52359 60636 69812 90954 91769 104718 157077 181908 183538 209436 275307 314154 367076 550614 628308 825921 1101228 1651842 2844839 3303684 5689678 8534517 11379356 17069034 25603551 34138068 51207102 102414204