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1314134520 = 2335109100469
BaseRepresentation
bin100111001010100…
…0001100111111000
310101120202221122220
41032111001213320
510142404301040
6334222244040
744364646656
oct11625014770
93346687586
101314134520
11614881796
12308126620
1317c3466ba
14c675ddd6
157a5832d0
hex4e5419f8

1314134520 has 64 divisors (see below), whose sum is σ = 3978612000. Its totient is φ = 347217408.

The previous prime is 1314134489. The next prime is 1314134537. The reversal of 1314134520 is 254314131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37155 + ... + 63314.

Almost surely, 21314134520 is an apocalyptic number.

1314134520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314134520 is an abundant number, since it is smaller than the sum of its proper divisors (2664477480).

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

1314134520 is a wasteful number, since it uses less digits than its factorization.

1314134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100592 (or 100588 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1314134520 is about 36250.9933656996. The cubic root of 1314134520 is about 1095.3340987565.

Adding to 1314134520 its reverse (254314131), we get a palindrome (1568448651).

The spelling of 1314134520 in words is "one billion, three hundred fourteen million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 100469 200938 301407 401876 502345 602814 803752 1004690 1205628 1507035 2009380 2411256 3014070 4018760 6028140 10951121 12056280 21902242 32853363 43804484 54755605 65706726 87608968 109511210 131413452 164266815 219022420 262826904 328533630 438044840 657067260 1314134520