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140013504 = 2632435653
BaseRepresentation
bin10000101100001…
…10111111000000
3100202110102102100
420112012333000
5241320413004
621520550400
73320044431
oct1026067700
9322412370
10140013504
1172041244
123aa82400
1323013537
1414849488
15c45a739
hex8586fc0

140013504 has 84 divisors (see below), whose sum is σ = 410729176. Its totient is φ = 45577728.

The previous prime is 140013499. The next prime is 140013509. The reversal of 140013504 is 405310041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140013499) and next prime (140013509).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140013509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21942 + ... + 27594.

Almost surely, 2140013504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205364588).

140013504 is an abundant number, since it is smaller than the sum of its proper divisors (270715672).

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

140013504 is a wasteful number, since it uses less digits than its factorization.

140013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140013504 is about 11832.7302005919. The cubic root of 140013504 is about 519.2661047532.

Adding to 140013504 its reverse (405310041), we get a palindrome (545323545).

The spelling of 140013504 in words is "one hundred forty million, thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 5653 6192 8256 11306 12384 16959 22612 24768 33918 45224 50877 67836 90448 101754 135672 180896 203508 243079 271344 361792 407016 486158 542688 729237 814032 972316 1085376 1458474 1628064 1944632 2187711 2916948 3256128 3889264 4375422 5833896 7778528 8750844 11667792 15557056 17501688 23335584 35003376 46671168 70006752 140013504