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1357996068 = 22321121323981
BaseRepresentation
bin101000011110001…
…0110000000100100
310111122022100101200
41100330112000210
510240121333233
6342430322500
745436530132
oct12074260044
93448270350
101357996068
1163760a600
1231a959430
13188462a90
14cc4da752
157e349313
hex50f16024

1357996068 has 108 divisors (see below), whose sum is σ = 4063558044. Its totient is φ = 379843200.

The previous prime is 1357996043. The next prime is 1357996069. The reversal of 1357996068 is 8606997531.

1357996068 is a `hidden beast` number, since 1 + 3 + 579 + 9 + 6 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 1303354404 = 7392^2 + 36102^2 .

It is not an unprimeable number, because it can be changed into a prime (1357996069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44638 + ... + 68618.

Almost surely, 21357996068 is an apocalyptic number.

1357996068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357996068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031779022).

1357996068 is an abundant number, since it is smaller than the sum of its proper divisors (2705561976).

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

1357996068 is a wasteful number, since it uses less digits than its factorization.

1357996068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24026 (or 24010 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1357996068 is about 36850.9981954356. The cubic root of 1357996068 is about 1107.3872123641.

The spelling of 1357996068 in words is "one billion, three hundred fifty-seven million, nine hundred ninety-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 14157 18876 23981 28314 47962 56628 71943 95924 143886 215829 263791 287772 311753 431658 527582 623506 791373 863316 935259 1055164 1247012 1582746 1870518 2374119 2805777 2901701 3165492 3429283 3741036 4748238 5611554 5803402 6858566 8705103 9496476 10287849 11223108 11606804 13717132 17410206 20575698 26115309 30863547 34820412 37722113 41151396 52230618 61727094 75444226 104461236 113166339 123454188 150888452 226332678 339499017 452665356 678998034 1357996068