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140249376 = 2532486977
BaseRepresentation
bin10000101110000…
…00100100100000
3100202220101222100
420113000210200
5241400440001
621530010400
73322046211
oct1027004440
9322811870
10140249376
1172192483
123ab76a00
13230969c7
14148ab408
15c4a5586
hex85c0920

140249376 has 36 divisors (see below), whose sum is σ = 398834982. Its totient is φ = 46749696.

The previous prime is 140249357. The next prime is 140249387. The reversal of 140249376 is 673942041.

140249376 is a `hidden beast` number, since 1 + 40 + 249 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136328976 + 3920400 = 11676^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140249376.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243201 + ... + 243776.

Almost surely, 2140249376 is an apocalyptic number.

140249376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140249376 is an abundant number, since it is smaller than the sum of its proper divisors (258585606).

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

140249376 is a wasteful number, since it uses less digits than its factorization.

140249376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486993 (or 486982 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 140249376 is about 11842.6929369971. The cubic root of 140249376 is about 519.5575328825.

It can be divided in two parts, 140249 and 376, that added together give a square (140625 = 3752).

The spelling of 140249376 in words is "one hundred forty million, two hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 486977 973954 1460931 1947908 2921862 3895816 4382793 5843724 7791632 8765586 11687448 15583264 17531172 23374896 35062344 46749792 70124688 140249376