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56766960 = 2433541641
BaseRepresentation
bin1101100010001…
…1000111110000
310221211001122000
43120203013300
5104013020320
65344414000
71256340225
oct330430760
9127731560
1056766960
112a052948
1217017300
13b9b7523
14777994c
154eb4c90
hex36231f0

56766960 has 160 divisors (see below), whose sum is σ = 200612160. Its totient is φ = 14745600.

The previous prime is 56766953. The next prime is 56766973. The reversal of 56766960 is 6966765.

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

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, 88240 + ... + 88880.

It is an arithmetic number, because the mean of its divisors is an integer number (1253826).

Almost surely, 256766960 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 56766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100306080).

56766960 is an abundant number, since it is smaller than the sum of its proper divisors (143845200).

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

56766960 is a wasteful number, since it uses less digits than its factorization.

56766960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 56766960 is about 7534.3851773054. The cubic root of 56766960 is about 384.3249203047.

The spelling of 56766960 in words is "fifty-six million, seven hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 641 656 720 738 820 984 1080 1107 1230 1282 1476 1640 1845 1923 1968 2160 2214 2460 2564 2952 3205 3280 3690 3846 4428 4920 5128 5535 5769 5904 6410 7380 7692 8856 9615 9840 10256 11070 11538 12820 14760 15384 17307 17712 19230 22140 23076 25640 26281 28845 29520 30768 34614 38460 44280 46152 51280 52562 57690 69228 76920 78843 86535 88560 92304 105124 115380 131405 138456 153840 157686 173070 210248 230760 236529 262810 276912 315372 346140 394215 420496 461520 473058 525620 630744 692280 709587 788430 946116 1051240 1182645 1261488 1384560 1419174 1576860 1892232 2102480 2365290 2838348 3153720 3547935 3784464 4730580 5676696 6307440 7095870 9461160 11353392 14191740 18922320 28383480 56766960