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140753920 = 210537743
BaseRepresentation
bin10000110001110…
…11110000000000
3100210212001002011
420120323300000
5242013111140
621544502304
73326250166
oct1030736000
9323761064
10140753920
11724a755a
123b17a994
1323212558
141499d236
15c554cea
hex863bc00

140753920 has 88 divisors (see below), whose sum is σ = 347236704. Its totient is φ = 54706176.

The previous prime is 140753917. The next prime is 140753927. The reversal of 140753920 is 29357041.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140753927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189069 + ... + 189811.

Almost surely, 2140753920 is an apocalyptic number.

140753920 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 140753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173618352).

140753920 is an abundant number, since it is smaller than the sum of its proper divisors (206482784).

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

140753920 is an equidigital number, since it uses as much as digits as its factorization.

140753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 140753920 is about 11863.9757248572. The cubic root of 140753920 is about 520.1798194669.

The spelling of 140753920 in words is "one hundred forty million, seven hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 743 1024 1184 1280 1480 1486 2368 2560 2960 2972 3715 4736 5120 5920 5944 7430 9472 11840 11888 14860 18944 23680 23776 27491 29720 37888 47360 47552 54982 59440 94720 95104 109964 118880 137455 189440 190208 219928 237760 274910 380416 439856 475520 549820 760832 879712 951040 1099640 1759424 1902080 2199280 3518848 3804160 4398560 7037696 8797120 14075392 17594240 28150784 35188480 70376960 140753920