Search a number
-
+
1316174496 = 253721321523
BaseRepresentation
bin100111001110011…
…0011101010100000
310101201121120222120
41032130303222200
510143420040441
6334334104240
744421204300
oct11634635240
93351546876
101316174496
11615a4541a
1230894b080
1317c8ac0a0
14c6b31600
157a837966
hex4e733aa0

1316174496 has 144 divisors (see below), whose sum is σ = 4328390304. Its totient is φ = 347106816.

The previous prime is 1316174477. The next prime is 1316174513. The reversal of 1316174496 is 6944716131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50391 + ... + 71913.

It is an arithmetic number, because the mean of its divisors is an integer number (30058266).

Almost surely, 21316174496 is an apocalyptic number.

1316174496 is a gapful number since it is divisible by the number (16) 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 1316174496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164195152).

1316174496 is an abundant number, since it is smaller than the sum of its proper divisors (3012215808).

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

1316174496 is a wasteful number, since it uses less digits than its factorization.

1316174496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21563 (or 21548 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 1316174496 is about 36279.1192836871. The cubic root of 1316174496 is about 1095.9005806066.

The spelling of 1316174496 in words is "one billion, three hundred sixteen million, one hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 21523 30576 43046 61152 64569 86092 129138 150661 172184 258276 279799 301322 344368 451983 516552 559598 602644 688736 839397 903966 1033104 1054627 1119196 1205288 1678794 1807932 1958593 2066208 2109254 2238392 2410576 3163881 3357588 3615864 3917186 4218508 4476784 4821152 5875779 6327762 6715176 7231728 7834372 8437016 8953568 11751558 12655524 13430352 13710151 14463456 15668744 16874032 23503116 25311048 26860704 27420302 31337488 33748064 41130453 47006232 50622096 54840604 62674976 82260906 94012464 101244192 109681208 164521812 188024928 219362416 329043624 438724832 658087248 1316174496