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1316029824 = 27322349669
BaseRepresentation
bin100111001110001…
…0000010110000000
310101201100020112100
41032130100112000
510143400423244
6334331030400
744420032434
oct11634202600
93351306470
101316029824
1161595675a
1230889b400
1317c85b295
14c6ad49c4
157a809b69
hex4e710580

1316029824 has 96 divisors (see below), whose sum is σ = 3951745200. Its totient is φ = 419595264.

The previous prime is 1316029807. The next prime is 1316029829. The reversal of 1316029824 is 4289206131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316029829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 51330.

Almost surely, 21316029824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975872600).

1316029824 is an abundant number, since it is smaller than the sum of its proper divisors (2635715376).

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

1316029824 is a wasteful number, since it uses less digits than its factorization.

1316029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49712 (or 49697 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1316029824 is about 36277.1253546915. The cubic root of 1316029824 is about 1095.8604258655.

The spelling of 1316029824 in words is "one billion, three hundred sixteen million, twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 49669 99338 149007 198676 298014 397352 447021 596028 794704 894042 1142387 1192056 1589408 1788084 2284774 2384112 3178816 3427161 3576168 4569548 4768224 6357632 6854322 7152336 9139096 9536448 10281483 13708644 14304672 18278192 19072896 20562966 27417288 28609344 36556384 41125932 54834576 57218688 73112768 82251864 109669152 146225536 164503728 219338304 329007456 438676608 658014912 1316029824