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102152436 = 223191792503
BaseRepresentation
bin1100001011010…
…11100011110100
321010012212210120
412011223203310
5202122334221
614045251540
72350165341
oct605534364
9233185716
10102152436
1152731701
122a263bb0
1318218439
14d7d17c8
158e7c5c6
hex616b8f4

102152436 has 48 divisors (see below), whose sum is σ = 252403200. Its totient is φ = 32065632.

The previous prime is 102152431. The next prime is 102152437. The reversal of 102152436 is 634251201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102152431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39561 + ... + 42063.

It is an arithmetic number, because the mean of its divisors is an integer number (5258400).

Almost surely, 2102152436 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 102152436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126201600).

102152436 is an abundant number, since it is smaller than the sum of its proper divisors (150250764).

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

102152436 is a wasteful number, since it uses less digits than its factorization.

102152436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102152436 is about 10107.0488274273. The cubic root of 102152436 is about 467.4655122452.

The spelling of 102152436 in words is "one hundred two million, one hundred fifty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 179 228 358 537 716 1074 2148 2503 3401 5006 6802 7509 10012 10203 13604 15018 20406 30036 40812 47557 95114 142671 190228 285342 448037 570684 896074 1344111 1792148 2688222 5376444 8512703 17025406 25538109 34050812 51076218 102152436