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1513697016 = 2331319318237
BaseRepresentation
bin101101000111001…
…0010111011111000
310220111021202221110
41122032102323320
511100001301031
6410111440320
752340132556
oct13216227370
93814252843
101513697016
11707495a77
12362b260a0
131b17a9810
1410506abd6
158cd52c46
hex5a392ef8

1513697016 has 128 divisors (see below), whose sum is σ = 4428748800. Its totient is φ = 426954240.

The previous prime is 1513697011. The next prime is 1513697033. The reversal of 1513697016 is 6107963151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513697011) 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, 179650 + ... + 187886.

It is an arithmetic number, because the mean of its divisors is an integer number (34599600).

Almost surely, 21513697016 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 1513697016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214374400).

1513697016 is an abundant number, since it is smaller than the sum of its proper divisors (2915051784).

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

1513697016 is a wasteful number, since it uses less digits than its factorization.

1513697016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1513697016 is about 38906.2593421676. The cubic root of 1513697016 is about 1148.1879505469.

The spelling of 1513697016 in words is "one billion, five hundred thirteen million, six hundred ninety-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 372 403 456 494 589 741 744 806 988 1178 1209 1482 1612 1767 1976 2356 2418 2964 3224 3534 4712 4836 5928 7068 7657 8237 9672 14136 15314 16474 22971 24711 30628 32948 45942 49422 61256 65896 91884 98844 107081 156503 183768 197688 214162 255347 313006 321243 428324 469509 510694 626012 642486 766041 856648 939018 1021388 1252024 1284972 1532082 1878036 2034539 2042776 2569944 3064164 3319511 3756072 4069078 4851593 6103617 6128328 6639022 8138156 9703186 9958533 12207234 13278044 14554779 16276312 19406372 19917066 24414468 26556088 29109558 38812744 39834132 48828936 58219116 63070709 79668264 116438232 126141418 189212127 252282836 378424254 504565672 756848508 1513697016