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1397969568 = 253217285533
BaseRepresentation
bin101001101010011…
…0101001010100000
310121102112012201200
41103110311022200
510330340011233
6350415201200
746433355012
oct12324651240
93542465650
101397969568
11658132256
12330216200
1319381a538
14d39441b2
1582ae3313
hex535352a0

1397969568 has 72 divisors (see below), whose sum is σ = 4209342228. Its totient is φ = 438577152.

The previous prime is 1397969567. The next prime is 1397969591. The reversal of 1397969568 is 8659697931.

1397969568 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 9 + 69 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1112089104 + 285880464 = 33348^2 + 16908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×13979695683 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1397969567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137871 + ... + 147662.

Almost surely, 21397969568 is an apocalyptic number.

1397969568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1397969568 is an abundant number, since it is smaller than the sum of its proper divisors (2811372660).

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

1397969568 is a wasteful number, since it uses less digits than its factorization.

1397969568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285566 (or 285555 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 1397969568 is about 37389.4312339731. The cubic root of 1397969568 is about 1118.1478657006.

The spelling of 1397969568 in words is "one billion, three hundred ninety-seven million, nine hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 285533 571066 856599 1142132 1713198 2284264 2569797 3426396 4568528 4854061 5139594 6852792 9137056 9708122 10279188 13705584 14562183 19416244 20558376 27411168 29124366 38832488 41116752 43686549 58248732 77664976 82233504 87373098 116497464 155329952 174746196 232994928 349492392 465989856 698984784 1397969568