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123187140 = 22325684373
BaseRepresentation
bin1110101011110…
…10111111000100
322120210112222200
413111322333010
5223013442030
620120154500
73024034116
oct725727704
9276715880
10123187140
116359935a
1235308a30
131c6a17cb
14125093b6
15ac34d60
hex757afc4

123187140 has 36 divisors (see below), whose sum is σ = 373668204. Its totient is φ = 32849856.

The previous prime is 123187139. The next prime is 123187153. The reversal of 123187140 is 41781321.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 49364676 = 8592^2 + 7026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1231871402 = 30350142922759200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 342007 + ... + 342366.

Almost surely, 2123187140 is an apocalyptic number.

123187140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123187140 is an abundant number, since it is smaller than the sum of its proper divisors (250481064).

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

123187140 is a wasteful number, since it uses less digits than its factorization.

123187140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684388 (or 684383 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 123187140 is about 11098.9702225026. The cubic root of 123187140 is about 497.5710730678.

The spelling of 123187140 in words is "one hundred twenty-three million, one hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 684373 1368746 2053119 2737492 3421865 4106238 6159357 6843730 8212476 10265595 12318714 13687460 20531190 24637428 30796785 41062380 61593570 123187140