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140010960 = 24353715767
BaseRepresentation
bin10000101100001…
…10010111010000
3100202110021221010
420112012113100
5241320322320
621520530520
73320034135
oct1026062720
9322407833
10140010960
117203a341
123aa80a40
132301232b
141484858c
15c459ae0
hex85865d0

140010960 has 80 divisors (see below), whose sum is σ = 445792896. Its totient is φ = 36324864.

The previous prime is 140010931. The next prime is 140010961. The reversal of 140010960 is 69010041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140010961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 16763.

Almost surely, 2140010960 is an apocalyptic number.

140010960 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 140010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222896448).

140010960 is an abundant number, since it is smaller than the sum of its proper divisors (305781936).

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

140010960 is a wasteful number, since it uses less digits than its factorization.

140010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15820 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 140010960 is about 11832.6227016668. The cubic root of 140010960 is about 519.2629597685.

The spelling of 140010960 in words is "one hundred forty million, ten thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 15767 31534 47301 63068 78835 94602 126136 157670 189204 236505 252272 315340 378408 473010 583379 630680 756816 946020 1166758 1261360 1750137 1892040 2333516 2916895 3500274 3784080 4667032 5833790 7000548 8750685 9334064 11667580 14001096 17501370 23335160 28002192 35002740 46670320 70005480 140010960