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145930932 = 22327836977
BaseRepresentation
bin10001011001010…
…11101010110100
3101011121001121100
420230223222310
5244324242212
622251450100
73421251420
oct1054535264
9334531540
10145930932
1175413084
1240a56930
1324305a84
1415549b80
15cc28bdc
hex8b2bab4

145930932 has 72 divisors (see below), whose sum is σ = 426718656. Its totient is φ = 41186304.

The previous prime is 145930921. The next prime is 145930943. The reversal of 145930932 is 239039541.

It is a happy number.

145930932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145930921) and next prime (145930943).

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

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, 17428 + ... + 24404.

It is an arithmetic number, because the mean of its divisors is an integer number (5926648).

Almost surely, 2145930932 is an apocalyptic number.

145930932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145930932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213359328).

145930932 is an abundant number, since it is smaller than the sum of its proper divisors (280787724).

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

145930932 is a wasteful number, since it uses less digits than its factorization.

145930932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 145930932 is about 12080.1875813251. The cubic root of 145930932 is about 526.4806961481.

The spelling of 145930932 in words is "one hundred forty-five million, nine hundred thirty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 6977 10458 13954 20916 20931 27908 41862 48839 62793 83724 97678 125586 146517 195356 251172 293034 439551 579091 586068 879102 1158182 1737273 1758204 2316364 3474546 4053637 5211819 6949092 8107274 10423638 12160911 16214548 20847276 24321822 36482733 48643644 72965466 145930932