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1317952272 = 243713535693
BaseRepresentation
bin100111010001110…
…0101101100010000
310101211221220122010
41032203211230100
510144343433042
6334440142520
744442260310
oct11643455420
93354856563
101317952272
11616a4a05a
12309467a40
13180082320
14c7075440
157aa8959c
hex4e8e5b10

1317952272 has 160 divisors (see below), whose sum is σ = 4270226688. Its totient is φ = 340973568.

The previous prime is 1317952253. The next prime is 1317952297. The reversal of 1317952272 is 2722597131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1317952272.

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, 228658 + ... + 234350.

Almost surely, 21317952272 is an apocalyptic number.

1317952272 is a gapful number since it is divisible by the number (12) 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 1317952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135113344).

1317952272 is an abundant number, since it is smaller than the sum of its proper divisors (2952274416).

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

1317952272 is a wasteful number, since it uses less digits than its factorization.

1317952272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5771 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 1317952272 is about 36303.6123822410. The cubic root of 1317952272 is about 1096.3937748931.

The spelling of 1317952272 in words is "one billion, three hundred seventeen million, nine hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 53 56 78 84 91 104 106 112 156 159 168 182 208 212 273 312 318 336 364 371 424 546 624 636 689 728 742 848 1092 1113 1272 1378 1456 1484 2067 2184 2226 2544 2756 2968 4134 4368 4452 4823 5512 5693 5936 8268 8904 9646 11024 11386 14469 16536 17079 17808 19292 22772 28938 33072 34158 38584 39851 45544 57876 68316 74009 77168 79702 91088 115752 119553 136632 148018 159404 222027 231504 239106 273264 296036 301729 318808 444054 478212 518063 592072 603458 637616 888108 905187 956424 1036126 1184144 1206916 1554189 1776216 1810374 1912848 2072252 2112103 2413832 3108378 3552432 3620748 3922477 4144504 4224206 4827664 6216756 6336309 7241496 7844954 8289008 8448412 11767431 12433512 12672618 14482992 15689908 16896824 23534862 24867024 25345236 27457339 31379816 33793648 47069724 50690472 54914678 62759632 82372017 94139448 101380944 109829356 164744034 188278896 219658712 329488068 439317424 658976136 1317952272