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145637400 = 23352242729
BaseRepresentation
bin10001010111001…
…00000000011000
3101011001010221210
420223210000120
5244240344100
622241303120
73415616556
oct1053440030
9334033853
10145637400
1175232597
1240934aa0
132423229c
14154b0bd6
15cbbbc50
hex8ae4018

145637400 has 48 divisors (see below), whose sum is σ = 451477800. Its totient is φ = 38836480.

The previous prime is 145637399. The next prime is 145637441. The reversal of 145637400 is 4736541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120765 + ... + 121964.

Almost surely, 2145637400 is an apocalyptic number.

145637400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145637400 is an abundant number, since it is smaller than the sum of its proper divisors (305840400).

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

145637400 is a wasteful number, since it uses less digits than its factorization.

145637400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242748 (or 242739 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 145637400 is about 12068.0321511007. The cubic root of 145637400 is about 526.1274636039.

The spelling of 145637400 in words is "one hundred forty-five million, six hundred thirty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 242729 485458 728187 970916 1213645 1456374 1941832 2427290 2912748 3640935 4854580 5825496 6068225 7281870 9709160 12136450 14563740 18204675 24272900 29127480 36409350 48545800 72818700 145637400