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1097107960 = 2351311318671
BaseRepresentation
bin100000101100100…
…1000100111111000
32211110101212012011
41001121020213320
54221324423320
6300510455304
736121156324
oct10131104770
92743355164
101097107960
1151331a4a3
12267504534
131463aa510
14a59c8984
15664b405a
hex416489f8

1097107960 has 64 divisors (see below), whose sum is σ = 2682046080. Its totient is φ = 401479680.

The previous prime is 1097107939. The next prime is 1097107967. The reversal of 1097107960 is 697017901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097107967) 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 15 ways as a sum of consecutive naturals, for example, 49425 + ... + 68095.

It is an arithmetic number, because the mean of its divisors is an integer number (41906970).

Almost surely, 21097107960 is an apocalyptic number.

1097107960 is a gapful number since it is divisible by the number (10) 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 1097107960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341023040).

1097107960 is an abundant number, since it is smaller than the sum of its proper divisors (1584938120).

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

1097107960 is a wasteful number, since it uses less digits than its factorization.

1097107960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18808 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 40.

The square root of 1097107960 is about 33122.6200654477. The cubic root of 1097107960 is about 1031.3746562014.

The spelling of 1097107960 in words is "one billion, ninety-seven million, one hundred seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 565 904 1130 1469 2260 2938 4520 5876 7345 11752 14690 18671 29380 37342 58760 74684 93355 149368 186710 242723 373420 485446 746840 970892 1213615 1941784 2109823 2427230 4219646 4854460 8439292 9708920 10549115 16878584 21098230 27427699 42196460 54855398 84392920 109710796 137138495 219421592 274276990 548553980 1097107960