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140495960 = 235112313883
BaseRepresentation
bin10000101111111…
…00110001011000
3100210100221020002
420113330301120
5241431332320
621535152132
73324124133
oct1027746130
9323327202
10140495960
1172340770
123b075648
1323152007
141493321a
15c503675
hex85fcc58

140495960 has 64 divisors (see below), whose sum is σ = 359873280. Its totient is φ = 48864640.

The previous prime is 140495959. The next prime is 140495963. The reversal of 140495960 is 69594041.

140495960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1404959602 = 39478229552643200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140495963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (5623020).

Almost surely, 2140495960 is an apocalyptic number.

140495960 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 140495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179936640).

140495960 is an abundant number, since it is smaller than the sum of its proper divisors (219377320).

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

140495960 is a wasteful number, since it uses less digits than its factorization.

140495960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 140495960 is about 11853.0991727902. The cubic root of 140495960 is about 519.8618469281.

The spelling of 140495960 in words is "one hundred forty million, four hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 13883 27766 55532 69415 111064 138830 152713 277660 305426 319309 555320 610852 638618 763565 1221704 1277236 1527130 1596545 2554472 3054260 3193090 3512399 6108520 6386180 7024798 12772360 14049596 17561995 28099192 35123990 70247980 140495960