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1355714272 = 251129592251
BaseRepresentation
bin101000011001110…
…1000111011100000
310111111000102100201
41100303220323200
510234030324042
6342305354544
745411244513
oct12063507340
93444012321
101355714272
116362a1220
1231a038a54
13187b442c3
14cc0a4d7a
157e0481b7
hex50ce8ee0

1355714272 has 96 divisors (see below), whose sum is σ = 3064521600. Its totient is φ = 584640000.

The previous prime is 1355714251. The next prime is 1355714273. The reversal of 1355714272 is 2724175531.

It is a super-2 number, since 2×13557142722 = 3675922374608979968, which contains 22 as substring.

Its product of digits (58800) is a multiple of the sum of its prime divisors (2352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355714273) 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, 601147 + ... + 603397.

It is an arithmetic number, because the mean of its divisors is an integer number (31922100).

Almost surely, 21355714272 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 1355714272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532260800).

1355714272 is an abundant number, since it is smaller than the sum of its proper divisors (1708807328).

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

1355714272 is a wasteful number, since it uses less digits than its factorization.

1355714272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 1355714272 is about 36820.0254209581. The cubic root of 1355714272 is about 1106.7666292504.

The spelling of 1355714272 in words is "one billion, three hundred fifty-five million, seven hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 59 88 116 118 176 232 236 319 352 464 472 638 649 928 944 1276 1298 1711 1888 2251 2552 2596 3422 4502 5104 5192 6844 9004 10208 10384 13688 18008 18821 20768 24761 27376 36016 37642 49522 54752 65279 72032 75284 99044 130558 132809 150568 198088 261116 265618 301136 396176 522232 531236 602272 718069 792352 1044464 1062472 1436138 1460899 2088928 2124944 2872276 2921798 3851461 4249888 5744552 5843596 7702922 11489104 11687192 15405844 22978208 23374384 30811688 42366071 46748768 61623376 84732142 123246752 169464284 338928568 677857136 1355714272