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1356145504 = 25723263227
BaseRepresentation
bin101000011010101…
…0010001101100000
310111111211022220021
41100311102031200
510234133124004
6342322523224
745415021660
oct12065221540
93444738807
101356145504
1163656620a
1231a206514
13187c6567c
14cc1781a0
157e0d0d54
hex50d52360

1356145504 has 48 divisors (see below), whose sum is σ = 3184005888. Its totient is φ = 555933312.

The previous prime is 1356145489. The next prime is 1356145507. The reversal of 1356145504 is 4055416531.

It is a self number, because there is not a number n which added to its sum of digits gives 1356145504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356145507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126462 + ... + 136765.

It is an arithmetic number, because the mean of its divisors is an integer number (66333456).

Almost surely, 21356145504 is an apocalyptic number.

1356145504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1356145504 is an abundant number, since it is smaller than the sum of its proper divisors (1827860384).

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

1356145504 is a wasteful number, since it uses less digits than its factorization.

1356145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263267 (or 263259 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 1356145504 is about 36825.8808991720. The cubic root of 1356145504 is about 1106.8839653296.

The spelling of 1356145504 in words is "one billion, three hundred fifty-six million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 263227 526454 1052908 1842589 2105816 3685178 4211632 6054221 7370356 8423264 12108442 14740712 24216884 29481424 42379547 48433768 58962848 84759094 96867536 169518188 193735072 339036376 678072752 1356145504