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145631680 = 265455099
BaseRepresentation
bin10001010111000…
…10100111000000
3101011000212002221
420223202213000
5244240203210
622241220424
73415564105
oct1053424700
9334025087
10145631680
1175229267
1240931714
132422c7bc
14154acaac
15cbba1da
hex8ae29c0

145631680 has 28 divisors (see below), whose sum is σ = 346786200. Its totient is φ = 58252544.

The previous prime is 145631663. The next prime is 145631683. The reversal of 145631680 is 86136541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145631683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227230 + ... + 227869.

Almost surely, 2145631680 is an apocalyptic number.

145631680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145631680 is an abundant number, since it is smaller than the sum of its proper divisors (201154520).

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

145631680 is an equidigital number, since it uses as much as digits as its factorization.

145631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455116 (or 455106 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 145631680 is about 12067.7951590172. The cubic root of 145631680 is about 526.1205755186.

The spelling of 145631680 in words is "one hundred forty-five million, six hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 455099 910198 1820396 2275495 3640792 4550990 7281584 9101980 14563168 18203960 29126336 36407920 72815840 145631680