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1306640120 = 235231420261
BaseRepresentation
bin100110111100001…
…1011111011111000
310101001200012021112
41031320123323320
510133444440440
6333353455452
744244154262
oct11570337370
93331605245
101306640120
11610623075
12305711588
1317a921446
14c576cb32
1579aa2965
hex4de1bef8

1306640120 has 32 divisors (see below), whose sum is σ = 3067765920. Its totient is φ = 499931520.

The previous prime is 1306640113. The next prime is 1306640123. The reversal of 1306640120 is 210466031.

It is a happy number.

It is a super-2 number, since 2×13066401202 = 3414616806387228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306640123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709211 + ... + 711050.

It is an arithmetic number, because the mean of its divisors is an integer number (95867685).

Almost surely, 21306640120 is an apocalyptic number.

1306640120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306640120 is an abundant number, since it is smaller than the sum of its proper divisors (1761125800).

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

1306640120 is a wasteful number, since it uses less digits than its factorization.

1306640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420295 (or 1420291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1306640120 is about 36147.4773670307. The cubic root of 1306640120 is about 1093.2479281725.

The spelling of 1306640120 in words is "one billion, three hundred six million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1420261 2840522 5681044 7101305 11362088 14202610 28405220 32666003 56810440 65332006 130664012 163330015 261328024 326660030 653320060 1306640120