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145815732 = 223217238261
BaseRepresentation
bin10001011000011…
…11100010110100
3101011101012120200
420230033202310
5244312100412
622245200500
73420261516
oct1054174264
9334335520
10145815732
1175344577
1240a00130
13242954ca
1415519bb6
15cc049dc
hex8b0f8b4

145815732 has 36 divisors (see below), whose sum is σ = 390273156. Its totient is φ = 45745920.

The previous prime is 145815713. The next prime is 145815737. The reversal of 145815732 is 237518541.

145815732 is a `hidden beast` number, since 1 + 4 + 5 + 81 + 573 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79816356 + 65999376 = 8934^2 + 8124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145815737) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 118519 + ... + 119742.

It is an arithmetic number, because the mean of its divisors is an integer number (10840921).

Almost surely, 2145815732 is an apocalyptic number.

145815732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145815732 is an abundant number, since it is smaller than the sum of its proper divisors (244457424).

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

145815732 is a wasteful number, since it uses less digits than its factorization.

145815732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238288 (or 238283 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 145815732 is about 12075.4185020644. The cubic root of 145815732 is about 526.3421225049.

The spelling of 145815732 in words is "one hundred forty-five million, eight hundred fifteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 238261 476522 714783 953044 1429566 2144349 2859132 4050437 4288698 8100874 8577396 12151311 16201748 24302622 36453933 48605244 72907866 145815732