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102029976 = 2333412281
BaseRepresentation
bin1100001010011…
…01101010011000
321002222122211000
412011031222120
5202104424401
614042505000
72346145326
oct605155230
9232878730
10102029976
11526586a4
122a205160
13181a4789
14d79cd16
158e56186
hex614da98

102029976 has 96 divisors (see below), whose sum is σ = 291531600. Its totient is φ = 33062400.

The previous prime is 102029969. The next prime is 102029999. The reversal of 102029976 is 679920201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102029976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362956 + ... + 363236.

Almost surely, 2102029976 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 102029976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145765800).

102029976 is an abundant number, since it is smaller than the sum of its proper divisors (189501624).

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

102029976 is a wasteful number, since it uses less digits than its factorization.

102029976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 102029976 is about 10100.9888624827. The cubic root of 102029976 is about 467.2786388512.

The spelling of 102029976 in words is "one hundred two million, twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 281 328 369 492 562 738 843 984 1107 1124 1476 1681 1686 2214 2248 2529 2952 3362 3372 4428 5043 5058 6724 6744 7587 8856 10086 10116 11521 13448 15129 15174 20172 20232 23042 30258 30348 34563 40344 45387 46084 60516 60696 69126 90774 92168 103689 121032 138252 181548 207378 276504 311067 363096 414756 472361 622134 829512 944722 1244268 1417083 1889444 2488536 2834166 3778888 4251249 5668332 8502498 11336664 12753747 17004996 25507494 34009992 51014988 102029976