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427157360 = 24573132437
BaseRepresentation
bin11001011101011…
…110011101110000
31002202202211201222
4121131132131300
51333323013420
6110215244212
713404530510
oct3135363560
91082684658
10427157360
111aa134713
12bb079668
136a65c746
1440a33840
152777a225
hex1975e770

427157360 has 80 divisors (see below), whose sum is σ = 1139111616. Its totient is φ = 145926144.

The previous prime is 427157329. The next prime is 427157389. The reversal of 427157360 is 63751724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 427157360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174062 + ... + 176498.

Almost surely, 2427157360 is an apocalyptic number.

427157360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569555808).

427157360 is an abundant number, since it is smaller than the sum of its proper divisors (711954256).

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

427157360 is a wasteful number, since it uses less digits than its factorization.

427157360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 427157360 is about 20667.7855611093. The cubic root of 427157360 is about 753.1173126055.

The spelling of 427157360 in words is "four hundred twenty-seven million, one hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 313 560 626 1252 1565 2191 2437 2504 3130 4382 4874 5008 6260 8764 9748 10955 12185 12520 17059 17528 19496 21910 24370 25040 34118 35056 38992 43820 48740 68236 85295 87640 97480 136472 170590 175280 194960 272944 341180 682360 762781 1364720 1525562 3051124 3813905 5339467 6102248 7627810 10678934 12204496 15255620 21357868 26697335 30511240 42715736 53394670 61022480 85431472 106789340 213578680 427157360