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149459520 = 2635723967
BaseRepresentation
bin10001110100010…
…01001001000000
3101102020022220210
420322021021000
5301230201040
622455234120
73463246020
oct1072111100
9342208823
10149459520
1177403171
1242078940
1324c6cbb2
1415bc7a80
15d1c4480
hex8e89240

149459520 has 224 divisors, whose sum is σ = 566489088. Its totient is φ = 32643072.

The previous prime is 149459507. The next prime is 149459521. The reversal of 149459520 is 25954941.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (149459521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154077 + ... + 155043.

Almost surely, 2149459520 is an apocalyptic number.

149459520 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 149459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283244544).

149459520 is an abundant number, since it is smaller than the sum of its proper divisors (417029568).

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

149459520 is a wasteful number, since it uses less digits than its factorization.

149459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 149459520 is about 12225.3637982679. The cubic root of 149459520 is about 530.6903546856.

The spelling of 149459520 in words is "one hundred forty-nine million, four hundred fifty-nine thousand, five hundred twenty".