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131075064 = 2333606829
BaseRepresentation
bin1111101000000…
…00101111111000
3100010122022012000
413310000233320
5232023400224
621001221000
73151056021
oct764005770
9303568160
10131075064
1167a966aa
1237a91760
1321203c13
141359dc48
15b7920c9
hex7d00bf8

131075064 has 32 divisors (see below), whose sum is σ = 364098000. Its totient is φ = 43691616.

The previous prime is 131075059. The next prime is 131075071. The reversal of 131075064 is 460570131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303199 + ... + 303630.

Almost surely, 2131075064 is an apocalyptic number.

It is an amenable number.

131075064 is an abundant number, since it is smaller than the sum of its proper divisors (233022936).

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

131075064 is a wasteful number, since it uses less digits than its factorization.

131075064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606844 (or 606834 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131075064 is about 11448.8018587099. The cubic root of 131075064 is about 507.9722947670.

The spelling of 131075064 in words is "one hundred thirty-one million, seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 606829 1213658 1820487 2427316 3640974 4854632 5461461 7281948 10922922 14563896 16384383 21845844 32768766 43691688 65537532 131075064