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1255705088 = 2911220269
BaseRepresentation
bin100101011011000…
…1000101000000000
310020111211102112212
41022312020220000
510032430030323
6324334041252
743055213531
oct11266105000
93214742485
101255705088
115948a3900
122b0649228
131701c9581
14bcab0688
1575390b78
hex4ad88a00

1255705088 has 60 divisors (see below), whose sum is σ = 2757915930. Its totient is φ = 570746880.

The previous prime is 1255705067. The next prime is 1255705093. The reversal of 1255705088 is 8805075521.

It can be written as a sum of positive squares in only one way, i.e., 927080704 + 328624384 = 30448^2 + 18128^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51818 + ... + 72086.

Almost surely, 21255705088 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 1255705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378957965).

1255705088 is an abundant number, since it is smaller than the sum of its proper divisors (1502210842).

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

1255705088 is an equidigital number, since it uses as much as digits as its factorization.

1255705088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20309 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 41.

The square root of 1255705088 is about 35435.9293373265. The cubic root of 1255705088 is about 1078.8536900034.

The spelling of 1255705088 in words is "one billion, two hundred fifty-five million, seven hundred five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2816 3872 5632 7744 15488 20269 30976 40538 61952 81076 162152 222959 324304 445918 648608 891836 1297216 1783672 2452549 2594432 3567344 4905098 5188864 7134688 9810196 10377728 14269376 19620392 28538752 39240784 57077504 78481568 114155008 156963136 313926272 627852544 1255705088