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80075060 = 225131312351
BaseRepresentation
bin1001100010111…
…01100100110100
312120200020022222
410301131210310
5130444400220
611540141512
71661424662
oct461354464
9176606288
1080075060
114122263a
1222997898
13137885c0
14a8c5c32
15706ae25
hex4c5d934

80075060 has 48 divisors (see below), whose sum is σ = 182552832. Its totient is φ = 29328000.

The previous prime is 80075053. The next prime is 80075069. The reversal of 80075060 is 6057008.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80075069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32885 + ... + 35235.

It is an arithmetic number, because the mean of its divisors is an integer number (3803184).

Almost surely, 280075060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80075060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91276416).

80075060 is an abundant number, since it is smaller than the sum of its proper divisors (102477772).

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

80075060 is a wasteful number, since it uses less digits than its factorization.

80075060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 80075060 is about 8948.4669078005. The cubic root of 80075060 is about 431.0216557720.

The spelling of 80075060 in words is "eighty million, seventy-five thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 655 1310 1703 2351 2620 3406 4702 6812 8515 9404 11755 17030 23510 30563 34060 47020 61126 122252 152815 305630 307981 611260 615962 1231924 1539905 3079810 4003753 6159620 8007506 16015012 20018765 40037530 80075060