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56947320 = 2333567787
BaseRepresentation
bin1101100100111…
…1001001111000
310222011020001000
43121033021320
5104034303240
65352325000
71261021113
oct331171170
9128136030
1056947320
112a166401
12170a3760
13ba4b651
1477c557a
154eed430
hex364f278

56947320 has 128 divisors (see below), whose sum is σ = 192902400. Its totient is φ = 14940288.

The previous prime is 56947307. The next prime is 56947339. The reversal of 56947320 is 2374965.

56947320 is a `hidden beast` number, since 569 + 4 + 73 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 71967 + ... + 72753.

It is an arithmetic number, because the mean of its divisors is an integer number (1507050).

Almost surely, 256947320 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 56947320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96451200).

56947320 is an abundant number, since it is smaller than the sum of its proper divisors (135955080).

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

56947320 is a wasteful number, since it uses less digits than its factorization.

56947320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 56947320 is about 7546.3448105689. The cubic root of 56947320 is about 384.7315157420.

It can be divided in two parts, 56 and 947320, that added together give a triangular number (947376 = T1376).

The spelling of 56947320 in words is "fifty-six million, nine hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 787 804 1005 1080 1206 1340 1574 1608 1809 2010 2361 2412 2680 3015 3148 3618 3935 4020 4722 4824 6030 6296 7083 7236 7870 8040 9045 9444 11805 12060 14166 14472 15740 18090 18888 21249 23610 24120 28332 31480 35415 36180 42498 47220 52729 56664 70830 72360 84996 94440 105458 106245 141660 158187 169992 210916 212490 263645 283320 316374 421832 424980 474561 527290 632748 790935 849960 949122 1054580 1265496 1423683 1581870 1898244 2109160 2372805 2847366 3163740 3796488 4745610 5694732 6327480 7118415 9491220 11389464 14236830 18982440 28473660 56947320