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75490680 = 23351673767
BaseRepresentation
bin1000111111111…
…10010101111000
312021001022202010
410133332111320
5123311200210
611254005520
71604442306
oct437762570
9167038663
1075490680
11396812a1
12213468a0
1312841a55
14a051276
156962920
hex47fe578

75490680 has 64 divisors (see below), whose sum is σ = 227888640. Its totient is φ = 20004992.

The previous prime is 75490663. The next prime is 75490691. The reversal of 75490680 is 8609457.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18157 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (3560760).

Almost surely, 275490680 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 75490680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113944320).

75490680 is an abundant number, since it is smaller than the sum of its proper divisors (152397960).

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

75490680 is a wasteful number, since it uses less digits than its factorization.

75490680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75490680 is about 8688.5372762048. The cubic root of 75490680 is about 422.6340132514.

The spelling of 75490680 in words is "seventy-five million, four hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 3767 4008 5010 6680 7534 10020 11301 15068 18835 20040 22602 30136 37670 45204 56505 75340 90408 113010 150680 226020 452040 629089 1258178 1887267 2516356 3145445 3774534 5032712 6290890 7549068 9436335 12581780 15098136 18872670 25163560 37745340 75490680