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140915840 = 2751316937
BaseRepresentation
bin10000110011000…
…11010010000000
3100211011021012012
420121203102000
5242033301330
621552152052
73330523232
oct1031432200
9324137165
10140915840
11725a817a
123b238628
132326b170
1414a02252
15c587c95
hex8663480

140915840 has 64 divisors (see below), whose sum is σ = 362811960. Its totient is φ = 52027392.

The previous prime is 140915813. The next prime is 140915851. The reversal of 140915840 is 48519041.

It can be written as a sum of positive squares in 4 ways, for example, as 77299264 + 63616576 = 8792^2 + 7976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140915797 and 140915806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 16788.

Almost surely, 2140915840 is an apocalyptic number.

140915840 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 140915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181405980).

140915840 is an abundant number, since it is smaller than the sum of its proper divisors (221896120).

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

140915840 is a wasteful number, since it uses less digits than its factorization.

140915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16969 (or 16957 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 140915840 is about 11870.7977827945. The cubic root of 140915840 is about 520.3792105725.

The spelling of 140915840 in words is "one hundred forty million, nine hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 16937 33874 67748 84685 135496 169370 220181 270992 338740 440362 541984 677480 880724 1083968 1100905 1354960 1761448 2167936 2201810 2709920 3522896 4403620 5419840 7045792 8807240 10839680 14091584 17614480 28183168 35228960 70457920 140915840