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1315401504 = 253371073461
BaseRepresentation
bin100111001100111…
…0110111100100000
310101200011022122020
41032121312330200
510143220322004
6334305341440
744411504544
oct11631667440
93350138566
101315401504
1161556768a
12308637880
1317c69b2b1
14c69ada24
157a7338d9
hex4e676f20

1315401504 has 96 divisors (see below), whose sum is σ = 3580428096. Its totient is φ = 422507520.

The previous prime is 1315401497. The next prime is 1315401509. The reversal of 1315401504 is 4051045131.

It is a happy number.

1315401504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×13154015042 = 3460562233450924032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1315401509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378334 + ... + 381794.

It is an arithmetic number, because the mean of its divisors is an integer number (37296126).

Almost surely, 21315401504 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 1315401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790214048).

1315401504 is an abundant number, since it is smaller than the sum of its proper divisors (2265026592).

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

1315401504 is a wasteful number, since it uses less digits than its factorization.

1315401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1315401504 is about 36268.4643181925. The cubic root of 1315401504 is about 1095.6859970344.

Adding to 1315401504 its reverse (4051045131), we get a palindrome (5366446635).

The spelling of 1315401504 in words is "one billion, three hundred fifteen million, four hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 107 111 148 214 222 296 321 428 444 592 642 856 888 1184 1284 1712 1776 2568 3424 3461 3552 3959 5136 6922 7918 10272 10383 11877 13844 15836 20766 23754 27688 31672 41532 47508 55376 63344 83064 95016 110752 126688 128057 166128 190032 256114 332256 370327 380064 384171 512228 740654 768342 1024456 1110981 1481308 1536684 2048912 2221962 2962616 3073368 4097824 4443924 5925232 6146736 8887848 11850464 12293472 13702099 17775696 27404198 35551392 41106297 54808396 82212594 109616792 164425188 219233584 328850376 438467168 657700752 1315401504