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73264260 = 22354373389
BaseRepresentation
bin1000101110111…
…10110010000100
312002212012200010
410113132302010
5122223424020
611134150220
71546510266
oct427366204
9162765603
1073264260
11383a0583
1220652370
1312242544
149a31b36
156672de0
hex45dec84

73264260 has 96 divisors (see below), whose sum is σ = 213333120. Its totient is φ = 18772992.

The previous prime is 73264249. The next prime is 73264267. The reversal of 73264260 is 6246237.

73264260 = T104 + T105 + ... + T760.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73264267) by changing a digit.

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, 188146 + ... + 188534.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 273264260 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 73264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106666560).

73264260 is an abundant number, since it is smaller than the sum of its proper divisors (140068860).

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

73264260 is a wasteful number, since it uses less digits than its factorization.

73264260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 73264260 is about 8559.4544218659. The cubic root of 73264260 is about 418.4376192583.

The spelling of 73264260 in words is "seventy-three million, two hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 73 86 129 146 172 215 219 258 292 365 389 430 438 516 645 730 778 860 876 1095 1167 1290 1460 1556 1945 2190 2334 2580 3139 3890 4380 4668 5835 6278 7780 9417 11670 12556 15695 16727 18834 23340 28397 31390 33454 37668 47085 50181 56794 62780 66908 83635 85191 94170 100362 113588 141985 167270 170382 188340 200724 250905 283970 334540 340764 425955 501810 567940 851910 1003620 1221071 1703820 2442142 3663213 4884284 6105355 7326426 12210710 14652852 18316065 24421420 36632130 73264260