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140262100 = 225211472713
BaseRepresentation
bin10000101110000…
…11101011010100
3100202221001102121
420113003223110
5241401341400
621530145324
73322131256
oct1027035324
9322831377
10140262100
11721a0aa0
123ab82244
132309c734
14148b1cd6
15c4a921a
hex85c3ad4

140262100 has 72 divisors (see below), whose sum is σ = 339228288. Its totient is φ = 49900800.

The previous prime is 140262071. The next prime is 140262113. The reversal of 140262100 is 1262041.

140262100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50344 + ... + 53056.

It is an arithmetic number, because the mean of its divisors is an integer number (4711504).

Almost surely, 2140262100 is an apocalyptic number.

140262100 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 140262100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169614144).

140262100 is an abundant number, since it is smaller than the sum of its proper divisors (198966188).

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

140262100 is a wasteful number, since it uses less digits than its factorization.

140262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 140262100 is about 11843.2301337093. The cubic root of 140262100 is about 519.5732445392.

The spelling of 140262100 in words is "one hundred forty million, two hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 2713 4700 5170 5426 10340 10852 12925 13565 25850 27130 29843 51700 54260 59686 67825 119372 127511 135650 149215 255022 271300 298430 510044 596860 637555 746075 1275110 1402621 1492150 2550220 2805242 2984300 3187775 5610484 6375550 7013105 12751100 14026210 28052420 35065525 70131050 140262100