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1317554940 = 22351310915497
BaseRepresentation
bin100111010001000…
…0100101011111100
310101211012201121010
41032202010223330
510144243224230
6334423435220
744436014022
oct11642045374
93354181533
101317554940
116167a8589
123092b5b10
1317cc73510
14c6db0712
157aa0b9b0
hex4e884afc

1317554940 has 96 divisors (see below), whose sum is σ = 4009642560. Its totient is φ = 321325056.

The previous prime is 1317554923. The next prime is 1317554951. The reversal of 1317554940 is 494557131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 77272 + ... + 92768.

It is an arithmetic number, because the mean of its divisors is an integer number (41767110).

Almost surely, 21317554940 is an apocalyptic number.

1317554940 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 1317554940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004821280).

1317554940 is an abundant number, since it is smaller than the sum of its proper divisors (2692087620).

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

1317554940 is a wasteful number, since it uses less digits than its factorization.

1317554940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15631 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1317554940 is about 36298.1396217492. The cubic root of 1317554940 is about 1096.2835847328.

The spelling of 1317554940 in words is "one billion, three hundred seventeen million, five hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 15497 17004 21255 28340 30994 42510 46491 61988 77485 85020 92982 154970 185964 201461 232455 309940 402922 464910 604383 805844 929820 1007305 1208766 1689173 2014610 2417532 3021915 3378346 4029220 5067519 6043830 6756692 8445865 10135038 12087660 16891730 20270076 21959249 25337595 33783460 43918498 50675190 65877747 87836996 101350380 109796245 131755494 219592490 263510988 329388735 439184980 658777470 1317554940