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56270880 = 25325231699
BaseRepresentation
bin1101011010101…
…0000000100000
310220212212010200
43112222000200
5103401132010
65330025200
71252203021
oct326520040
9126785120
1056270880
1129844166
1216a18200
13b8727a3
14768ac48
154e17cc0
hex35aa020

56270880 has 144 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 14344704.

The previous prime is 56270869. The next prime is 56270881. The reversal of 56270880 is 8807265.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (56270881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32271 + ... + 33969.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 256270880 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 56270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

56270880 is an abundant number, since it is smaller than the sum of its proper divisors (144220320).

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

56270880 is a wasteful number, since it uses less digits than its factorization.

56270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 56270880 is about 7501.3918708464. The cubic root of 56270880 is about 383.2021193421.

The spelling of 56270880 in words is "fifty-six million, two hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1699 1840 2070 2208 2760 3312 3398 3680 4140 5097 5520 6624 6796 8280 8495 10194 11040 13592 15291 16560 16990 20388 25485 27184 30582 33120 33980 39077 40776 50970 54368 61164 67960 76455 78154 81552 101940 117231 122328 135920 152910 156308 163104 195385 203880 234462 244656 271840 305820 312616 351693 390770 407760 468924 489312 586155 611640 625232 703386 781540 815520 937848 1172310 1223280 1250464 1406772 1563080 1758465 1875696 2344620 2446560 2813544 3126160 3516930 3751392 4689240 5627088 6252320 7033860 9378480 11254176 14067720 18756960 28135440 56270880