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75741990 = 23523313541
BaseRepresentation
bin1001000001110…
…11101100100110
312021112002110220
410200323230212
5123342220430
611303225210
71606540062
oct440735446
9167462426
1075741990
1139833095
1221448206
13128cc25c
14a0b8aa2
1569b2110
hex483bb26

75741990 has 64 divisors (see below), whose sum is σ = 195858432. Its totient is φ = 18691200.

The previous prime is 75741989. The next prime is 75742001. The reversal of 75741990 is 9914757.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19620 + ... + 23160.

It is an arithmetic number, because the mean of its divisors is an integer number (3060288).

Almost surely, 275741990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75741990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97929216).

75741990 is an abundant number, since it is smaller than the sum of its proper divisors (120116442).

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

75741990 is a wasteful number, since it uses less digits than its factorization.

75741990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 75741990 is about 8702.9874181226. The cubic root of 75741990 is about 423.1024795157.

The spelling of 75741990 in words is "seventy-five million, seven hundred forty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1426 2139 3541 3565 4278 7082 7130 10623 10695 17705 21246 21390 35410 53115 81443 106230 109771 162886 219542 244329 329313 407215 488658 548855 658626 814430 1097710 1221645 1646565 2443290 2524733 3293130 5049466 7574199 12623665 15148398 25247330 37870995 75741990