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1307773520 = 24520697901
BaseRepresentation
bin100110111110011…
…0000101001010000
310101010210210000022
41031330300221100
510134242223040
6333434043012
744256614534
oct11574605120
93333723008
101307773520
11611227669
12305b79468
1317ac2a2b1
14c5985bc4
1579c286b5
hex4df30a50

1307773520 has 40 divisors (see below), whose sum is σ = 3042428040. Its totient is φ = 522790400.

The previous prime is 1307773513. The next prime is 1307773619. The reversal of 1307773520 is 253777031.

It can be written as a sum of positive squares in 4 ways, for example, as 67043344 + 1240730176 = 8188^2 + 35224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13077735202 = 3420543159226380800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161570 + ... + 169470.

It is an arithmetic number, because the mean of its divisors is an integer number (76060701).

Almost surely, 21307773520 is an apocalyptic number.

1307773520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307773520 is an abundant number, since it is smaller than the sum of its proper divisors (1734654520).

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

1307773520 is a wasteful number, since it uses less digits than its factorization.

1307773520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 35.

The square root of 1307773520 is about 36163.1514113469. The cubic root of 1307773520 is about 1093.5639369157.

The spelling of 1307773520 in words is "one billion, three hundred seven million, seven hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2069 4138 7901 8276 10345 15802 16552 20690 31604 33104 39505 41380 63208 79010 82760 126416 158020 165520 316040 632080 16347169 32694338 65388676 81735845 130777352 163471690 261554704 326943380 653886760 1307773520