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1317520420 = 2251937831129
BaseRepresentation
bin100111010000111…
…1100010000100100
310101211010222020121
41032201330100210
510144241123140
6334423011324
744435511256
oct11641742044
93354128217
101317520420
11616784657
12309299b44
1317cc608a8
14c6da1cd6
157aa0164a
hex4e87c424

1317520420 has 96 divisors (see below), whose sum is σ = 3029846400. Its totient is φ = 479499264.

The previous prime is 1317520409. The next prime is 1317520433. The reversal of 1317520420 is 240257131.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 1166416 + ... + 1167544.

It is an arithmetic number, because the mean of its divisors is an integer number (31560900).

Almost surely, 21317520420 is an apocalyptic number.

1317520420 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 1317520420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514923200).

1317520420 is an abundant number, since it is smaller than the sum of its proper divisors (1712325980).

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

1317520420 is a wasteful number, since it uses less digits than its factorization.

1317520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1317520420 is about 36297.6641121712. The cubic root of 1317520420 is about 1096.2740104224.

Adding to 1317520420 its reverse (240257131), we get a palindrome (1557777551).

The spelling of 1317520420 in words is "one billion, three hundred seventeen million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 83 95 148 166 185 190 332 370 380 415 703 740 830 1129 1406 1577 1660 2258 2812 3071 3154 3515 4516 5645 6142 6308 7030 7885 11290 12284 14060 15355 15770 21451 22580 30710 31540 41773 42902 58349 61420 83546 85804 93707 107255 116698 167092 187414 208865 214510 233396 291745 374828 417730 429020 468535 583490 793687 835460 937070 1166980 1587374 1780433 1874140 3174748 3467159 3560866 3968435 6934318 7121732 7936870 8902165 13868636 15873740 17335795 17804330 34671590 35608660 65876021 69343180 131752042 263504084 329380105 658760210 1317520420