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1412675640 = 23355237189
BaseRepresentation
bin101010000110011…
…1011100000111000
310122110012100200000
41110030323200320
510343121110030
6352102313000
750002354605
oct12414734070
93573170600
101412675640
11665467132
12335128760
1319689915c
14d58916ac
158404a860
hex5433b838

1412675640 has 384 divisors, whose sum is σ = 5094835200. Its totient is φ = 351267840.

The previous prime is 1412675629. The next prime is 1412675647. The reversal of 1412675640 is 465762141.

1412675640 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 6 + 7 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1412675595 and 1412675604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412675647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15872716 + ... + 15872804.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 21412675640 is an apocalyptic number.

1412675640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1412675640 is an abundant number, since it is smaller than the sum of its proper divisors (3682159560).

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

1412675640 is a wasteful number, since it uses less digits than its factorization.

1412675640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1412675640 is about 37585.5775530987. The cubic root of 1412675640 is about 1122.0550174629.

The spelling of 1412675640 in words is "one billion, four hundred twelve million, six hundred seventy-five thousand, six hundred forty".