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427132680 = 233513273803
BaseRepresentation
bin11001011101011…
…000011100001000
31002202201120212220
4121131120130020
51333321221210
6110214534040
713404365532
oct3135303410
91082646786
10427132680
111aa118117
12bb067320
136a651440
1440a28852
1527772c70
hex19758708

427132680 has 64 divisors (see below), whose sum is σ = 1379972160. Its totient is φ = 105139968.

The previous prime is 427132679. The next prime is 427132681. The reversal of 427132680 is 86231724.

It is an interprime number because it is at equal distance from previous prime (427132679) and next prime (427132681).

It is not an unprimeable number, because it can be changed into a prime (427132681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135342 + ... + 138461.

It is an arithmetic number, because the mean of its divisors is an integer number (21562065).

Almost surely, 2427132680 is an apocalyptic number.

427132680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427132680 is an abundant number, since it is smaller than the sum of its proper divisors (952839480).

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

427132680 is a wasteful number, since it uses less digits than its factorization.

427132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273830 (or 273826 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 427132680 is about 20667.1884880358. The cubic root of 427132680 is about 753.1028079639.

The spelling of 427132680 in words is "four hundred twenty-seven million, one hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 273803 547606 821409 1095212 1369015 1642818 2190424 2738030 3285636 3559439 4107045 5476060 6571272 7118878 8214090 10678317 10952120 14237756 16428180 17797195 21356634 28475512 32856360 35594390 42713268 53391585 71188780 85426536 106783170 142377560 213566340 427132680