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75339540 = 22325418553
BaseRepresentation
bin1000111110110…
…01011100010100
312020202122102100
410133121130110
5123241331130
611250442100
71603242543
oct437313424
9166678370
1075339540
1139588791
1221293330
13127bb013
14a01215a
156932c60
hex47d9714

75339540 has 36 divisors (see below), whose sum is σ = 228530484. Its totient is φ = 20090496.

The previous prime is 75339527. The next prime is 75339571. The reversal of 75339540 is 4593357.

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 46049796 = 5412^2 + 6786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75339495 and 75339504.

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, 209097 + ... + 209456.

It is an arithmetic number, because the mean of its divisors is an integer number (6348069).

Almost surely, 275339540 is an apocalyptic number.

It is an amenable number.

75339540 is an abundant number, since it is smaller than the sum of its proper divisors (153190944).

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

75339540 is a wasteful number, since it uses less digits than its factorization.

75339540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418568 (or 418563 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 75339540 is about 8679.8352518927. The cubic root of 75339540 is about 422.3517727523.

The spelling of 75339540 in words is "seventy-five million, three hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 418553 837106 1255659 1674212 2092765 2511318 3766977 4185530 5022636 6278295 7533954 8371060 12556590 15067908 18834885 25113180 37669770 75339540