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1316191240 = 2357132291579
BaseRepresentation
bin100111001110011…
…0111110000001000
310101201122102221201
41032130313300020
510143421104430
6334334313544
744421304150
oct11634676010
93351572851
101316191240
11615a56a61
123089588b4
1317c8b68b0
14c6b37760
157a83c8ca
hex4e737c08

1316191240 has 128 divisors (see below), whose sum is σ = 3663072000. Its totient is φ = 414471168.

The previous prime is 1316191231. The next prime is 1316191309. The reversal of 1316191240 is 421916131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1316191199 and 1316191208.

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, 832771 + ... + 834349.

It is an arithmetic number, because the mean of its divisors is an integer number (28617750).

Almost surely, 21316191240 is an apocalyptic number.

1316191240 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 1316191240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831536000).

1316191240 is an abundant number, since it is smaller than the sum of its proper divisors (2346880760).

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

1316191240 is a wasteful number, since it uses less digits than its factorization.

1316191240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1316191240 is about 36279.3500493049. The cubic root of 1316191240 is about 1095.9052278327.

It can be divided in two parts, 13161 and 91240, that added together give a palindrome (104401).

The spelling of 1316191240 in words is "one billion, three hundred sixteen million, one hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 229 260 280 364 455 458 520 728 910 916 1145 1579 1603 1820 1832 2290 2977 3158 3206 3640 4580 5954 6316 6412 7895 8015 9160 11053 11908 12632 12824 14885 15790 16030 20527 20839 22106 23816 29770 31580 32060 41054 41678 44212 55265 59540 63160 64120 82108 83356 88424 102635 104195 110530 119080 143689 164216 166712 205270 208390 221060 287378 361591 410540 416780 442120 574756 718445 723182 821080 833560 1149512 1436890 1446364 1807955 2531137 2873780 2892728 3615910 4700683 5062274 5747560 7231820 9401366 10124548 12655685 14463640 18802732 20249096 23503415 25311370 32904781 37605464 47006830 50622740 65809562 94013660 101245480 131619124 164523905 188027320 263238248 329047810 658095620 1316191240