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75246220 = 22575310141
BaseRepresentation
bin1000111110000…
…10101010001100
312020120220102001
410133002222030
5123230334340
611244442044
71602403510
oct437025214
9166526361
1075246220
1139524665
1221249324
13127876ba
149dca140
15691529a
hex47c2a8c

75246220 has 48 divisors (see below), whose sum is σ = 184016448. Its totient is φ = 25309440.

The previous prime is 75246203. The next prime is 75246239. The reversal of 75246220 is 2264257.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 12490.

It is an arithmetic number, because the mean of its divisors is an integer number (3833676).

Almost surely, 275246220 is an apocalyptic number.

75246220 is a gapful number since it is divisible by the number (70) 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 75246220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92008224).

75246220 is an abundant number, since it is smaller than the sum of its proper divisors (108770228).

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

75246220 is a wasteful number, since it uses less digits than its factorization.

75246220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 75246220 is about 8674.4579081347. The cubic root of 75246220 is about 422.1773174261.

It can be divided in two parts, 75246 and 220, that added together give a triangular number (75466 = T388).

The spelling of 75246220 in words is "seventy-five million, two hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 10141 20282 40564 50705 70987 101410 141974 202820 283948 354935 537473 709870 1074946 1419740 2149892 2687365 3762311 5374730 7524622 10749460 15049244 18811555 37623110 75246220