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145627800 = 23352242713
BaseRepresentation
bin10001010111000…
…01101010011000
3101011000122210020
420223201222120
5244240042200
622241150440
73415546563
oct1053415230
9334018706
10145627800
117522635a
124092b420
132422aac6
14154ab4da
15cbb8ea0
hex8ae1a98

145627800 has 48 divisors (see below), whose sum is σ = 451448040. Its totient is φ = 38833920.

The previous prime is 145627793. The next prime is 145627813. The reversal of 145627800 is 8726541.

It is a super-2 number, since 2×1456278002 = 42414912265680000, which contains 22 as substring.

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, 120757 + ... + 121956.

Almost surely, 2145627800 is an apocalyptic number.

145627800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145627800 is an abundant number, since it is smaller than the sum of its proper divisors (305820240).

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

145627800 is a wasteful number, since it uses less digits than its factorization.

145627800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242732 (or 242723 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 145627800 is about 12067.6343995002. The cubic root of 145627800 is about 526.1159030784.

The spelling of 145627800 in words is "one hundred forty-five million, six hundred twenty-seven thousand, eight 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 242713 485426 728139 970852 1213565 1456278 1941704 2427130 2912556 3640695 4854260 5825112 6067825 7281390 9708520 12135650 14562780 18203475 24271300 29125560 36406950 48542600 72813900 145627800