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145631745 = 32572320101
BaseRepresentation
bin10001010111000…
…10101000000001
3101011000212012100
420223202220001
5244240203440
622241221013
73415564230
oct1053425001
9334025170
10145631745
1175229316
1240931769
132422c83c
14154acb17
15cbba230
hex8ae2a01

145631745 has 48 divisors (see below), whose sum is σ = 301047552. Its totient is φ = 63676800.

The previous prime is 145631743. The next prime is 145631753. The reversal of 145631745 is 547136541.

145631745 is a `hidden beast` number, since 14 + 5 + 631 + 7 + 4 + 5 = 666.

It is not a de Polignac number, because 145631745 - 21 = 145631743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145631743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806 + ... + 17295.

It is an arithmetic number, because the mean of its divisors is an integer number (6271824).

Almost surely, 2145631745 is an apocalyptic number.

145631745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145631745 is an abundant number, since it is smaller than the sum of its proper divisors (155415807).

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

145631745 is a wasteful number, since it uses less digits than its factorization.

145631745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20142 (or 20139 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 145631745 is about 12067.7978521352. The cubic root of 145631745 is about 526.1206537933.

The spelling of 145631745 in words is "one hundred forty-five million, six hundred thirty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 20101 60303 100505 140707 180909 301515 422121 462323 703535 904545 1266363 1386969 2110605 2311615 3236261 4160907 6331815 6934845 9708783 16181305 20804535 29126349 48543915 145631745