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100427340 = 223513199647
BaseRepresentation
bin1011111110001…
…10011001001100
320222222020102010
411333012121030
5201202133330
613544301220
72326422036
oct577063114
9228866363
10100427340
1151763602
1229771810
1317a63180
14d4a2c56
158c3b3b0
hex5fc664c

100427340 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 24558336.

The previous prime is 100427323. The next prime is 100427399. The reversal of 100427340 is 43724001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154897 + ... + 155543.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2100427340 is an apocalyptic number.

100427340 is a gapful number since it is divisible by the number (10) 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 100427340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

100427340 is an abundant number, since it is smaller than the sum of its proper divisors (204391860).

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

100427340 is a wasteful number, since it uses less digits than its factorization.

100427340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 100427340 is about 10021.3442212110. The cubic root of 100427340 is about 464.8191226211.

The spelling of 100427340 in words is "one hundred million, four hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 199 260 390 398 597 647 780 796 995 1194 1294 1941 1990 2388 2587 2588 2985 3235 3882 3980 5174 5970 6470 7761 7764 8411 9705 10348 11940 12935 12940 15522 16822 19410 25233 25870 31044 33644 38805 38820 42055 50466 51740 77610 84110 100932 126165 128753 155220 168220 252330 257506 386259 504660 515012 643765 772518 1287530 1545036 1673789 1931295 2575060 3347578 3862590 5021367 6695156 7725180 8368945 10042734 16737890 20085468 25106835 33475780 50213670 100427340