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1316531970 = 2325132101857
BaseRepresentation
bin100111001111000…
…1010111100000010
310101202021202100100
41032132022330002
510144013010340
6334345503230
744424223425
oct11636127402
93352252310
101316531970
11616169a56
12308aa1b16
1317c9a5a00
14c6bc59bc
157a8a8830
hex4e78af02

1316531970 has 144 divisors (see below), whose sum is σ = 3747610152. Its totient is φ = 320486400.

The previous prime is 1316531873. The next prime is 1316531987. The reversal of 1316531970 is 791356131.

1316531970 is a `hidden beast` number, since 1 + 31 + 6 + 531 + 97 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 280529001 + 1036002969 = 16749^2 + 32187^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1535782 + ... + 1536638.

Almost surely, 21316531970 is an apocalyptic number.

1316531970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316531970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873805076).

1316531970 is an abundant number, since it is smaller than the sum of its proper divisors (2431078182).

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

1316531970 is a wasteful number, since it uses less digits than its factorization.

1316531970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1316531970 is about 36284.0456674831. The cubic root of 1316531970 is about 1095.9997874376. Note that the first 3 decimals are identical.

The spelling of 1316531970 in words is "one billion, three hundred sixteen million, five hundred thirty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 169 195 202 234 303 338 390 505 507 585 606 845 857 909 1010 1014 1170 1313 1515 1521 1690 1714 1818 2535 2571 2626 3030 3042 3939 4285 4545 5070 5142 6565 7605 7713 7878 8570 9090 11141 11817 12855 13130 15210 15426 17069 19695 22282 23634 25710 33423 34138 38565 39390 51207 55705 59085 66846 77130 85345 86557 100269 102414 111410 118170 144833 153621 167115 170690 173114 200538 256035 259671 289666 307242 334230 432785 434499 501345 512070 519342 724165 768105 779013 865570 868998 1002690 1125241 1298355 1303497 1448330 1536210 1558026 2172495 2250482 2596710 2606994 3375723 3895065 4344990 5626205 6517485 6751446 7790130 10127169 11252410 13034970 14628133 16878615 20254338 29256266 33757230 43884399 50635845 73140665 87768798 101271690 131653197 146281330 219421995 263306394 438843990 658265985 1316531970