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1330605640 = 2357131721503
BaseRepresentation
bin100111101001111…
…0110111001001000
310102201202202210101
41033103312321020
510211113340030
6340011255144
744654650510
oct11723667110
93381682711
101330605640
11623101791
1231174a4b4
13182892820
14c8a0a840
157bc387ca
hex4f4f6e48

1330605640 has 128 divisors (see below), whose sum is σ = 3901685760. Its totient is φ = 396324864.

The previous prime is 1330605607. The next prime is 1330605643. The reversal of 1330605640 is 465060331.

It is a super-2 number, since 2×13306056402 = 3541022738399619200, which contains 22 as substring.

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 = 1330605599 and 1330605608.

It is not an unprimeable number, because it can be changed into a prime (1330605643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51129 + ... + 72631.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 21330605640 is an apocalyptic number.

1330605640 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 1330605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950842880).

1330605640 is an abundant number, since it is smaller than the sum of its proper divisors (2571080120).

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

1330605640 is a wasteful number, since it uses less digits than its factorization.

1330605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21551 (or 21547 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1330605640 is about 36477.4675656082. The cubic root of 1330605640 is about 1099.8913501503.

Adding to 1330605640 its reverse (465060331), we get a palindrome (1795665971).

The spelling of 1330605640 in words is "one billion, three hundred thirty million, six hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 21503 30940 43006 61880 86012 107515 150521 172024 215030 279539 301042 365551 430060 559078 602084 731102 752605 860120 1118156 1204168 1397695 1462204 1505210 1827755 1956773 2236312 2558857 2795390 2924408 3010420 3655510 3913546 4752163 5117714 5590780 6020840 7311020 7827092 9504326 9783865 10235428 11181560 12794285 14622040 15654184 19008652 19567730 20470856 23760815 25588570 33265141 38017304 39135460 47521630 51177140 66530282 78270920 95043260 102354280 133060564 166325705 190086520 266121128 332651410 665302820 1330605640