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140640120 = 233252271721
BaseRepresentation
bin10000110000111…
…11111101111000
3100210122020222100
420120133331320
5242000440440
621542223400
73325264335
oct1030377570
9323566870
10140640120
117242a005
123b124b60
13231a280a
141496d98c
15c531230
hex861ff78

140640120 has 96 divisors (see below), whose sum is σ = 459360720. Its totient is φ = 37317120.

The previous prime is 140640113. The next prime is 140640131. The reversal of 140640120 is 21046041.

140640120 is a `hidden beast` number, since 1 + 4 + 0 + 640 + 1 + 20 = 666.

It is a super-2 number, since 2×1406401202 = 39559286707228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 140640093 and 140640102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80860 + ... + 82580.

Almost surely, 2140640120 is an apocalyptic number.

140640120 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 140640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229680360).

140640120 is an abundant number, since it is smaller than the sum of its proper divisors (318720600).

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

140640120 is a wasteful number, since it uses less digits than its factorization.

140640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140640120 is about 11859.1787236722. The cubic root of 140640120 is about 520.0395926461.

Adding to 140640120 its reverse (21046041), we get a palindrome (161686161).

The spelling of 140640120 in words is "one hundred forty million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 227 360 454 681 908 1135 1362 1721 1816 2043 2270 2724 3405 3442 4086 4540 5163 5448 6810 6884 8172 8605 9080 10215 10326 13620 13768 15489 16344 17210 20430 20652 25815 27240 30978 34420 40860 41304 51630 61956 68840 77445 81720 103260 123912 154890 206520 309780 390667 619560 781334 1172001 1562668 1953335 2344002 3125336 3516003 3906670 4688004 5860005 7032006 7813340 9376008 11720010 14064012 15626680 17580015 23440020 28128024 35160030 46880040 70320060 140640120