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140748972 = 223721318413
BaseRepresentation
bin10000110001110…
…10100010101100
3100210211210021220
420120322202230
5242012431342
621544423340
73326226600
oct1030724254
9323753256
10140748972
11724a3871
123b177b50
1323210220
141499b500
15c5535ec
hex863a8ac

140748972 has 72 divisors (see below), whose sum is σ = 411442416. Its totient is φ = 37118592.

The previous prime is 140748929. The next prime is 140748991. The reversal of 140748972 is 279847041.

It is a happy number.

140748972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (5714478).

Almost surely, 2140748972 is an apocalyptic number.

140748972 is a gapful number since it is divisible by the number (12) 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 140748972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205721208).

140748972 is an abundant number, since it is smaller than the sum of its proper divisors (270693444).

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

140748972 is a wasteful number, since it uses less digits than its factorization.

140748972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18447 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 140748972 is about 11863.7671925911. The cubic root of 140748972 is about 520.1737240063.

The spelling of 140748972 in words is "one hundred forty million, seven hundred forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 18413 36826 55239 73652 110478 128891 220956 239369 257782 386673 478738 515564 718107 773346 902237 957476 1436214 1546692 1675583 1804474 2706711 2872428 3351166 3608948 5026749 5413422 6702332 10053498 10826844 11729081 20106996 23458162 35187243 46916324 70374486 140748972