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56973690 = 23252983263
BaseRepresentation
bin1101100101010…
…1100101111010
310222012120012200
43121111211322
5104041124230
65353051030
71261161024
oct331254572
9128176180
1056973690
112a1841a4
12170b6a76
13ba5a657
1477d1014
155006160
hex365597a

56973690 has 96 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 14437248.

The previous prime is 56973689. The next prime is 56973701. The reversal of 56973690 is 9637965.

It is a super-2 number, since 2×569736902 = 6492002704432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216499 + ... + 216761.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 256973690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56973690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

56973690 is an abundant number, since it is smaller than the sum of its proper divisors (98701830).

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

56973690 is a wasteful number, since it uses less digits than its factorization.

56973690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 56973690 is about 7548.0918118422. The cubic root of 56973690 is about 384.7908911115.

The spelling of 56973690 in words is "fifty-six million, nine hundred seventy-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 83 87 90 145 166 174 249 261 263 290 415 435 498 522 526 747 789 830 870 1245 1305 1315 1494 1578 2367 2407 2490 2610 2630 3735 3945 4734 4814 7221 7470 7627 7890 11835 12035 14442 15254 21663 21829 22881 23670 24070 36105 38135 43326 43658 45762 65487 68643 72210 76270 108315 109145 114405 130974 137286 196461 216630 218290 228810 327435 343215 392922 633041 654870 686430 982305 1266082 1899123 1964610 3165205 3798246 5697369 6330410 9495615 11394738 18991230 28486845 56973690