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1607668140 = 2235132061113
BaseRepresentation
bin101111111010011…
…0001000110101100
311011001010000002110
41133310301012230
511243030340030
6423305524020
754560645061
oct13764610654
94131100073
101607668140
11755539961
1238a4a3610
131c80bc130
1411372cc68
15962161b0
hex5fd311ac

1607668140 has 48 divisors (see below), whose sum is σ = 4847740128. Its totient is φ = 395733504.

The previous prime is 1607668129. The next prime is 1607668211. The reversal of 1607668140 is 418667061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1029777 + ... + 1031336.

It is an arithmetic number, because the mean of its divisors is an integer number (100994586).

Almost surely, 21607668140 is an apocalyptic number.

1607668140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607668140 is an abundant number, since it is smaller than the sum of its proper divisors (3240071988).

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

1607668140 is a wasteful number, since it uses less digits than its factorization.

1607668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061138 (or 2061136 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1607668140 is about 40095.7371799048. The cubic root of 1607668140 is about 1171.4725997021.

The spelling of 1607668140 in words is "one billion, six hundred seven million, six hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2061113 4122226 6183339 8244452 10305565 12366678 20611130 24733356 26794469 30916695 41222260 53588938 61833390 80383407 107177876 123666780 133972345 160766814 267944690 321533628 401917035 535889380 803834070 1607668140