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145466880 = 2935133147
BaseRepresentation
bin10001010101110…
…10011000000000
3101010201111001020
420222322120000
5244214420010
622233505440
73414306456
oct1052723000
9333644036
10145466880
1175126469
1240872280
13241a27a0
14154689d6
15cb86470
hex8aba600

145466880 has 320 divisors, whose sum is σ = 527966208. Its totient is φ = 33914880.

The previous prime is 145466837. The next prime is 145466891. The reversal of 145466880 is 88664541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1454668802 = 42321226353868800, 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 31 ways as a sum of consecutive naturals, for example, 3095017 + ... + 3095063.

Almost surely, 2145466880 is an apocalyptic number.

145466880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

145466880 is an abundant number, since it is smaller than the sum of its proper divisors (382499328).

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

145466880 is a wasteful number, since it uses less digits than its factorization.

145466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 145466880 is about 12060.9651355105. The cubic root of 145466880 is about 525.9220440886.

The spelling of 145466880 in words is "one hundred forty-five million, four hundred sixty-six thousand, eight hundred eighty".