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102672036 = 22344159131
BaseRepresentation
bin1100001111010…
…10011010100100
321011012021120000
412013222122210
5202241001121
614104341300
72354461245
oct607523244
9234167500
10102672036
1152a57025
122a474830
131836aaac
14d8c8ccc
159031526
hex61ea6a4

102672036 has 120 divisors (see below), whose sum is σ = 281746080. Its totient is φ = 32572800.

The previous prime is 102672019. The next prime is 102672041. The reversal of 102672036 is 630276201.

It is a happy number.

It is a super-4 number, since 4×1026720364 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 783691 + ... + 783821.

It is an arithmetic number, because the mean of its divisors is an integer number (2347884).

Almost surely, 2102672036 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 102672036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140873040).

102672036 is an abundant number, since it is smaller than the sum of its proper divisors (179074044).

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

102672036 is a wasteful number, since it uses less digits than its factorization.

102672036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 102672036 is about 10132.7210560639. The cubic root of 102672036 is about 468.2567624577.

The spelling of 102672036 in words is "one hundred two million, six hundred seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 59 81 82 108 118 123 131 162 164 177 236 246 262 324 354 369 393 492 524 531 708 738 786 1062 1107 1179 1476 1572 1593 2124 2214 2358 2419 3186 3321 3537 4428 4716 4779 4838 5371 6372 6642 7074 7257 7729 9558 9676 10611 10742 13284 14148 14514 15458 16113 19116 21222 21484 21771 23187 29028 30916 32226 42444 43542 46374 48339 64452 65313 69561 87084 92748 96678 130626 139122 145017 193356 195939 208683 261252 278244 290034 316889 391878 417366 435051 580068 626049 633778 783756 834732 870102 950667 1252098 1267556 1740204 1901334 2504196 2852001 3802668 5704002 8556003 11408004 17112006 25668009 34224012 51336018 102672036