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140598920 = 235711191239
BaseRepresentation
bin10000110000101…
…01111010001000
3100210120011110102
420120111322020
5241443131140
621541304532
73325033250
oct1030257210
9323504412
10140598920
1172401060
123b105148
1323189b37
141495c960
15c523e15
hex8615e88

140598920 has 128 divisors (see below), whose sum is σ = 398131200. Its totient is φ = 43411200.

The previous prime is 140598893. The next prime is 140598943. The reversal of 140598920 is 29895041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588161 + ... + 588399.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2140598920 is an apocalyptic number.

140598920 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 140598920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

140598920 is an abundant number, since it is smaller than the sum of its proper divisors (257532280).

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

140598920 is a wasteful number, since it uses less digits than its factorization.

140598920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 140598920 is about 11857.4415452913. The cubic root of 140598920 is about 519.9888064652.

The spelling of 140598920 in words is "one hundred forty million, five hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 191 220 239 280 308 382 385 440 478 616 764 770 955 956 1195 1337 1528 1540 1673 1910 1912 2101 2390 2629 2674 3080 3346 3820 4202 4780 5258 5348 6685 6692 7640 8365 8404 9560 10505 10516 10696 13145 13370 13384 14707 16730 16808 18403 21010 21032 26290 26740 29414 33460 36806 42020 45649 52580 53480 58828 66920 73535 73612 84040 91298 92015 105160 117656 147070 147224 182596 184030 228245 294140 319543 365192 368060 456490 502139 588280 639086 736120 912980 1004278 1278172 1597715 1825960 2008556 2510695 2556344 3195430 3514973 4017112 5021390 6390860 7029946 10042780 12781720 14059892 17574865 20085560 28119784 35149730 70299460 140598920