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140815392 = 2533147317
BaseRepresentation
bin10000110010010…
…10110000100000
3100210222011101220
420121022300200
5242022043032
621550055040
73326624334
oct1031126040
9323864356
10140815392
1172539763
123b1aa480
1323234523
14149b77c4
15c56812c
hex864ac20

140815392 has 48 divisors (see below), whose sum is σ = 381572352. Its totient is φ = 45423360.

The previous prime is 140815351. The next prime is 140815399. The reversal of 140815392 is 293518041.

140815392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1408153922 = 39657949248227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140815399) 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, 20683 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (7949424).

Almost surely, 2140815392 is an apocalyptic number.

140815392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140815392 is an abundant number, since it is smaller than the sum of its proper divisors (240756960).

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

140815392 is a wasteful number, since it uses less digits than its factorization.

140815392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47361 (or 47353 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 140815392 is about 11866.5661418963. The cubic root of 140815392 is about 520.2555351554.

The spelling of 140815392 in words is "one hundred forty million, eight hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 47317 94634 141951 189268 283902 378536 567804 757072 1135608 1466827 1514144 2271216 2933654 4400481 4542432 5867308 8800962 11734616 17601924 23469232 35203848 46938464 70407696 140815392