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145166032 = 24117111617
BaseRepresentation
bin10001010011100…
…00111011010000
3101010011012100201
420221300323100
5244130303112
622223224544
73411614404
oct1051607320
9333135321
10145166032
1174a40430
1240748154
13240c887b
14153cb104
15cb27257
hex8a70ed0

145166032 has 40 divisors (see below), whose sum is σ = 311176512. Its totient is φ = 65049600.

The previous prime is 145166017. The next prime is 145166039. The reversal of 145166032 is 230661541.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145166039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6688 + ... + 18304.

Almost surely, 2145166032 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 145166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155588256).

145166032 is an abundant number, since it is smaller than the sum of its proper divisors (166010480).

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

145166032 is a wasteful number, since it uses less digits than its factorization.

145166032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 145166032 is about 12048.4867099566. The cubic root of 145166032 is about 525.5592311539.

The spelling of 145166032 in words is "one hundred forty-five million, one hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 11617 12496 23234 46468 92936 127787 185872 255574 511148 824807 1022296 1649614 2044592 3299228 6598456 9072877 13196912 18145754 36291508 72583016 145166032