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140049760 = 25519232003
BaseRepresentation
bin10000101100011…
…11110101100000
3100202112021011011
420112033311200
5241323043020
621521430304
73320255224
oct1026176540
9322467134
10140049760
1172066504
123aa9b394
1323026ba6
1414858784
15c46635a
hex858fd60

140049760 has 96 divisors (see below), whose sum is σ = 363605760. Its totient is φ = 50738688.

The previous prime is 140049751. The next prime is 140049781. The reversal of 140049760 is 67940041.

It is a super-2 number, since 2×1400497602 = 39227870552115200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68919 + ... + 70921.

It is an arithmetic number, because the mean of its divisors is an integer number (3787560).

Almost surely, 2140049760 is an apocalyptic number.

140049760 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 140049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181802880).

140049760 is an abundant number, since it is smaller than the sum of its proper divisors (223556000).

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

140049760 is a wasteful number, since it uses less digits than its factorization.

140049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 140049760 is about 11834.2621231744. The cubic root of 140049760 is about 519.3109215901.

The spelling of 140049760 in words is "one hundred forty million, forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 608 736 760 874 920 1520 1748 1840 2003 2185 3040 3496 3680 4006 4370 6992 8012 8740 10015 13984 16024 17480 20030 32048 34960 38057 40060 46069 64096 69920 76114 80120 92138 152228 160240 184276 190285 230345 304456 320480 368552 380570 460690 608912 737104 761140 875311 921380 1217824 1474208 1522280 1750622 1842760 3044560 3501244 3685520 4376555 6089120 7002488 7371040 8753110 14004976 17506220 28009952 35012440 70024880 140049760