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145293096 = 233134571019
BaseRepresentation
bin10001010100011…
…11111100101000
3101010101122122210
420222033330220
5244143334341
622230045120
73412654014
oct1052177450
9333348583
10145293096
1175017943
12407a97a0
1324141660
1415421544
15cb4ec16
hex8a8ff28

145293096 has 64 divisors (see below), whose sum is σ = 392414400. Its totient is φ = 44563968.

The previous prime is 145293091. The next prime is 145293097. The reversal of 145293096 is 690392541.

145293096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452930962 = 42220167490530432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (145293091) 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, 142075 + ... + 143093.

It is an arithmetic number, because the mean of its divisors is an integer number (6131475).

Almost surely, 2145293096 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 145293096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196207200).

145293096 is an abundant number, since it is smaller than the sum of its proper divisors (247121304).

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

145293096 is a wasteful number, since it uses less digits than its factorization.

145293096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 145293096 is about 12053.7585839438. The cubic root of 145293096 is about 525.7125273087.

The spelling of 145293096 in words is "one hundred forty-five million, two hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 457 914 1019 1371 1828 2038 2742 3057 3656 4076 5484 5941 6114 8152 10968 11882 12228 13247 17823 23764 24456 26494 35646 39741 47528 52988 71292 79482 105976 142584 158964 317928 465683 931366 1397049 1862732 2794098 3725464 5588196 6053879 11176392 12107758 18161637 24215516 36323274 48431032 72646548 145293096