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1520400680 = 235269914083
BaseRepresentation
bin101101010011111…
…0111100100101000
310220221220100122022
41122213313210220
511103210310210
6410511244012
752451123021
oct13247674450
93827810568
101520400680
11710254597
12365219608
131b2cb5b96
14105cd3c48
158d729155
hex5a9f7928

1520400680 has 32 divisors (see below), whose sum is σ = 3422412000. Its totient is φ = 607891776.

The previous prime is 1520400667. The next prime is 1520400689. The reversal of 1520400680 is 860040251.

It is not an unprimeable number, because it can be changed into a prime (1520400689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100919 + ... + 115001.

It is an arithmetic number, because the mean of its divisors is an integer number (106950375).

Almost surely, 21520400680 is an apocalyptic number.

1520400680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1520400680 is an abundant number, since it is smaller than the sum of its proper divisors (1902011320).

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

1520400680 is a wasteful number, since it uses less digits than its factorization.

1520400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16793 (or 16789 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1520400680 is about 38992.3156532156. The cubic root of 1520400680 is about 1149.8804362148.

The spelling of 1520400680 in words is "one billion, five hundred twenty million, four hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 2699 5398 10796 13495 14083 21592 26990 28166 53980 56332 70415 107960 112664 140830 281660 563320 38010017 76020034 152040068 190050085 304080136 380100170 760200340 1520400680