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1627375420 = 2251143172027
BaseRepresentation
bin110000011111111…
…1100011100111100
311012102012020101201
41200333330130330
511313102003140
6425252145244
755220314516
oct14077743474
94172166351
101627375420
1176567a270
12395008224
131cc1cc248
141161bcbb6
1597d0a49a
hex60ffc73c

1627375420 has 48 divisors (see below), whose sum is σ = 3814892928. Its totient is φ = 578007360.

The previous prime is 1627375391. The next prime is 1627375427. The reversal of 1627375420 is 245737261.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1627375420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1627375427) 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 15 ways as a sum of consecutive naturals, for example, 76554 + ... + 95473.

It is an arithmetic number, because the mean of its divisors is an integer number (79476936).

Almost surely, 21627375420 is an apocalyptic number.

1627375420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1627375420 is an abundant number, since it is smaller than the sum of its proper divisors (2187517508).

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

1627375420 is a wasteful number, since it uses less digits than its factorization.

1627375420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172090 (or 172088 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 1627375420 is about 40340.7414408808. The cubic root of 1627375420 is about 1176.2399272527.

The spelling of 1627375420 in words is "one billion, six hundred twenty-seven million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 172027 344054 688108 860135 1720270 1892297 3440540 3784594 7397161 7569188 9461485 14794322 18922970 29588644 36985805 37845940 73971610 81368771 147943220 162737542 325475084 406843855 813687710 1627375420