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1252017680 = 24561256561
BaseRepresentation
bin100101010100000…
…0100011000010000
310020020220002101012
41022220010120100
510031004031210
6324123030052
743011655214
oct11250043020
93206802335
101252017680
11592805461
122ab36b328
1316c508084
14bc3d0944
1574db3305
hex4aa04610

1252017680 has 40 divisors (see below), whose sum is σ = 2958672984. Its totient is φ = 492595200.

The previous prime is 1252017623. The next prime is 1252017707. The reversal of 1252017680 is 867102521.

It can be written as a sum of positive squares in 4 ways, for example, as 77721856 + 1174295824 = 8816^2 + 34268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123401 + ... + 133160.

Almost surely, 21252017680 is an apocalyptic number.

1252017680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252017680 is an abundant number, since it is smaller than the sum of its proper divisors (1706655304).

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

1252017680 is a wasteful number, since it uses less digits than its factorization.

1252017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256635 (or 256629 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 1252017680 is about 35383.8618581974. The cubic root of 1252017680 is about 1077.7966280836.

The spelling of 1252017680 in words is "one billion, two hundred fifty-two million, seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 256561 513122 1026244 1282805 2052488 2565610 4104976 5131220 10262440 15650221 20524880 31300442 62600884 78251105 125201768 156502210 250403536 313004420 626008840 1252017680