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2540705832 = 233371680361
BaseRepresentation
bin1001011101110000…
…0001100000101000
320120001210020012000
42113130001200220
520200410041312
61100040051000
7116650433430
oct22734014050
96501706160
102540705832
111094186995
125aaa63a60
133164b2342
141a16092c0
15ed0bbadc
hex97701828

2540705832 has 64 divisors (see below), whose sum is σ = 8065737600. Its totient is φ = 725915520.

The previous prime is 2540705813. The next prime is 2540705857. The reversal of 2540705832 is 2385070452.

2540705832 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 70 + 583 + 2 = 666.

It is a super-2 number, since 2×25407058322 = 12910372249517624448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838669 + ... + 841692.

It is an arithmetic number, because the mean of its divisors is an integer number (126027150).

Almost surely, 22540705832 is an apocalyptic number.

It is an amenable number.

2540705832 is an abundant number, since it is smaller than the sum of its proper divisors (5525031768).

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

2540705832 is a wasteful number, since it uses less digits than its factorization.

2540705832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680383 (or 1680373 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2540705832 is about 50405.4147091362. The cubic root of 2540705832 is about 1364.5353617225.

The spelling of 2540705832 in words is "two billion, five hundred forty million, seven hundred five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1680361 3360722 5041083 6721444 10082166 11762527 13442888 15123249 20164332 23525054 30246498 35287581 40328664 45369747 47050108 60492996 70575162 90739494 94100216 105862743 120985992 141150324 181478988 211725486 282300648 317588229 362957976 423450972 635176458 846901944 1270352916 2540705832