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140679120 = 24351394217
BaseRepresentation
bin10000110001010…
…01011111010000
3100210201020110210
420120221133100
5242003212440
621543124120
73325516131
oct1030513720
9323636423
10140679120
117245633a
123b143640
13231b74aa
141497dc88
15c53ca80
hex86297d0

140679120 has 80 divisors (see below), whose sum is σ = 439346880. Its totient is φ = 37235712.

The previous prime is 140679113. The next prime is 140679137. The reversal of 140679120 is 21976041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1406791202 = 39581229607948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31252 + ... + 35468.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2140679120 is an apocalyptic number.

140679120 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 140679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219673440).

140679120 is an abundant number, since it is smaller than the sum of its proper divisors (298667760).

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

140679120 is a wasteful number, since it uses less digits than its factorization.

140679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 140679120 is about 11860.8229056841. The cubic root of 140679120 is about 520.0876578063.

The spelling of 140679120 in words is "one hundred forty million, six hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4217 5560 6672 8340 8434 11120 12651 16680 16868 21085 25302 33360 33736 42170 50604 63255 67472 84340 101208 126510 168680 202416 253020 337360 506040 586163 1012080 1172326 1758489 2344652 2930815 3516978 4689304 5861630 7033956 8792445 9378608 11723260 14067912 17584890 23446520 28135824 35169780 46893040 70339560 140679120