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140634400 = 2552367479
BaseRepresentation
bin10000110000111…
…10100100100000
3100210121222010111
420120132210200
5242000300100
621542141104
73325241554
oct1030364440
9323558114
10140634400
1172425785
123b121794
13231a002a
141496b864
15c52e6ba
hex861e920

140634400 has 72 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 55983360.

The previous prime is 140634391. The next prime is 140634401. The reversal of 140634400 is 4436041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (140634401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293361 + ... + 293839.

It is an arithmetic number, because the mean of its divisors is an integer number (4791360).

Almost surely, 2140634400 is an apocalyptic number.

140634400 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 140634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

140634400 is an abundant number, since it is smaller than the sum of its proper divisors (204343520).

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

140634400 is a wasteful number, since it uses less digits than its factorization.

140634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 140634400 is about 11858.9375578085. The cubic root of 140634400 is about 520.0325423421.

The spelling of 140634400 in words is "one hundred forty million, six hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 367 400 479 734 800 958 1468 1835 1916 2395 2936 3670 3832 4790 5872 7340 7664 9175 9580 11744 11975 14680 15328 18350 19160 23950 29360 36700 38320 47900 58720 73400 76640 95800 146800 175793 191600 293600 351586 383200 703172 878965 1406344 1757930 2812688 3515860 4394825 5625376 7031720 8789650 14063440 17579300 28126880 35158600 70317200 140634400