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1504020140 = 2257231972371
BaseRepresentation
bin101100110100101…
…1000011010101100
310212211002010202122
41121221120122230
511040012121030
6405124212112
752161650240
oct13151303254
93784063678
101504020140
11701a86657
1235b83a038
131ac79c05c
14103a6c420
158c0908e5
hex59a586ac

1504020140 has 96 divisors (see below), whose sum is σ = 3787305984. Its totient is φ = 490533120.

The previous prime is 1504020137. The next prime is 1504020187. The reversal of 1504020140 is 410204051.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633155 + ... + 635525.

It is an arithmetic number, because the mean of its divisors is an integer number (39451104).

Almost surely, 21504020140 is an apocalyptic number.

1504020140 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 1504020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893652992).

1504020140 is an abundant number, since it is smaller than the sum of its proper divisors (2283285844).

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

1504020140 is a wasteful number, since it uses less digits than its factorization.

1504020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1504020140 is about 38781.6985187601. The cubic root of 1504020140 is about 1145.7359773181.

Adding to 1504020140 its reverse (410204051), we get a palindrome (1914224191).

The spelling of 1504020140 in words is "one billion, five hundred four million, twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 197 230 322 394 460 644 788 805 985 1379 1610 1970 2371 2758 3220 3940 4531 4742 5516 6895 9062 9484 11855 13790 16597 18124 22655 23710 27580 31717 33194 45310 47420 54533 63434 66388 82985 90620 109066 126868 158585 165970 218132 272665 317170 331940 381731 467087 545330 634340 763462 934174 1090660 1526924 1868348 1908655 2335435 3269609 3817310 4670870 6539218 7634620 9341740 10743001 13078436 16348045 21486002 32696090 42972004 53715005 65392180 75201007 107430010 150402014 214860020 300804028 376005035 752010070 1504020140