Search a number
-
+
1397606688 = 253241118361
BaseRepresentation
bin101001101001101…
…1100100100100000
310121101211202221200
41103103130210200
510330241403223
6350403321200
746430314032
oct12323344440
93541752850
101397606688
11657a04655
12330080200
1319372130a
14d388bc52
1582a70a43
hex534dc920

1397606688 has 72 divisors (see below), whose sum is σ = 4071416076. Its totient is φ = 454502400.

The previous prime is 1397606687. The next prime is 1397606689. The reversal of 1397606688 is 8866067931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1397606687) and next prime (1397606689).

It can be written as a sum of positive squares in 2 ways, for example, as 1384732944 + 12873744 = 37212^2 + 3588^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1397606687) 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, 47373 + ... + 70988.

Almost surely, 21397606688 is an apocalyptic number.

1397606688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1397606688 is an abundant number, since it is smaller than the sum of its proper divisors (2673809388).

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

1397606688 is a wasteful number, since it uses less digits than its factorization.

1397606688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118418 (or 118407 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1397606688 is about 37384.5782108077. The cubic root of 1397606688 is about 1118.0511090378.

The spelling of 1397606688 in words is "one billion, three hundred ninety-seven million, six hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 118361 236722 355083 473444 710166 946888 1065249 1420332 1893776 2130498 2840664 3787552 4260996 4852801 5681328 8521992 9705602 11362656 14558403 17043984 19411204 29116806 34087968 38822408 43675209 58233612 77644816 87350418 116467224 155289632 174700836 232934448 349401672 465868896 698803344 1397606688