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75912980 = 2251121319127
BaseRepresentation
bin1001000011001…
…01011100010100
312021211210000212
410201211130110
5123413203410
611311024552
71611151433
oct441453424
9167753025
1075912980
113993a600
122150b158
131295c030
14a12111a
1569e7b05
hex4865714

75912980 has 144 divisors (see below), whose sum is σ = 200202240. Its totient is φ = 23950080.

The previous prime is 75912979. The next prime is 75912997. The reversal of 75912980 is 8921957.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597677 + ... + 597803.

Almost surely, 275912980 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 75912980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100101120).

75912980 is an abundant number, since it is smaller than the sum of its proper divisors (124289260).

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

75912980 is a wasteful number, since it uses less digits than its factorization.

75912980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 75912980 is about 8712.8055183161. The cubic root of 75912980 is about 423.4206294164.

The spelling of 75912980 in words is "seventy-five million, nine hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 121 127 130 143 190 209 220 242 247 254 260 286 380 418 484 494 508 572 605 635 715 836 988 1045 1210 1235 1270 1397 1430 1573 1651 2090 2299 2413 2420 2470 2540 2717 2794 2860 3146 3302 4180 4598 4826 4940 5434 5588 6292 6604 6985 7865 8255 9196 9652 10868 11495 12065 13585 13970 15367 15730 16510 18161 22990 24130 26543 27170 27940 29887 30734 31369 31460 33020 36322 45980 48260 53086 54340 59774 61468 62738 72644 76835 90805 106172 119548 125476 132715 149435 153670 156845 181610 199771 265430 291973 298870 307340 313690 345059 363220 399542 530860 583946 597740 627380 690118 799084 998855 1167892 1380236 1459865 1725295 1997710 2919730 3450590 3795649 3995420 5839460 6901180 7591298 15182596 18978245 37956490 75912980