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75670740 = 22335178243
BaseRepresentation
bin1001000001010…
…10010011010100
312021101110202000
410200222103110
5123332430430
611301515300
71606122255
oct440522324
9167343660
1075670740
1139794602
1221412b30
13128a59b2
14a09ab2c
15699ae60
hex482a4d4

75670740 has 96 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 18989568.

The previous prime is 75670739. The next prime is 75670769. The reversal of 75670740 is 4707657.

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 = 75670695 and 75670704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5059 + ... + 13301.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 275670740 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 75670740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

75670740 is an abundant number, since it is smaller than the sum of its proper divisors (173627820).

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

75670740 is a wasteful number, since it uses less digits than its factorization.

75670740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 75670740 is about 8698.8930330244. The cubic root of 75670740 is about 422.9697679716.

The spelling of 75670740 in words is "seventy-five million, six hundred seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 8243 9180 16486 24729 32972 41215 49458 74187 82430 98916 123645 140131 148374 164860 222561 247290 280262 296748 370935 420393 445122 494580 560524 700655 741870 840786 890244 1112805 1261179 1401310 1483740 1681572 2101965 2225610 2522358 2802620 3783537 4203930 4451220 5044716 6305895 7567074 8407860 12611790 15134148 18917685 25223580 37835370 75670740