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140382880 = 2551131283
BaseRepresentation
bin10000101111000…
…01001010100000
3100210011012002221
420113201022200
5241414223010
621532520424
73323143351
oct1027411240
9323135087
10140382880
1172273810
123b020114
13231126c1
1414903d28
15c4cedda
hex85e12a0

140382880 has 144 divisors (see below), whose sum is σ = 378356832. Its totient is φ = 48806400.

The previous prime is 140382877. The next prime is 140382901. The reversal of 140382880 is 88283041.

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, 1691319 + ... + 1691401.

It is an arithmetic number, because the mean of its divisors is an integer number (2627478).

Almost surely, 2140382880 is an apocalyptic number.

140382880 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 140382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189178416).

140382880 is an abundant number, since it is smaller than the sum of its proper divisors (237973952).

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

140382880 is a wasteful number, since it uses less digits than its factorization.

140382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 140382880 is about 11848.3281521065. The cubic root of 140382880 is about 519.7223369705.

The spelling of 140382880 in words is "one hundred forty million, three hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 83 88 110 124 155 160 166 176 220 248 310 332 341 352 415 440 496 620 664 682 830 880 913 961 992 1240 1328 1364 1660 1705 1760 1826 1922 2480 2573 2656 2728 3320 3410 3652 3844 4565 4805 4960 5146 5456 6640 6820 7304 7688 9130 9610 10292 10571 10912 12865 13280 13640 14608 15376 18260 19220 20584 21142 25730 27280 28303 29216 30752 36520 38440 41168 42284 51460 52855 54560 56606 73040 76880 79763 82336 84568 102920 105710 113212 141515 146080 153760 159526 169136 205840 211420 226424 283030 319052 338272 398815 411680 422840 452848 566060 638104 797630 845680 877393 905696 1132120 1276208 1595260 1691360 1754786 2264240 2552416 3190520 3509572 4386965 4528480 6381040 7019144 8773930 12762080 14038288 17547860 28076576 35095720 70191440 140382880