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1457672130 = 232519738209
BaseRepresentation
bin101011011100010…
…0100111111000010
310202120212102020200
41112320210333002
510441131002010
6400350550030
751060002655
oct12670447702
93676772220
101457672130
116888aa712
12348208316
131a2cc1cb5
14db84589c
1587e87cc0
hex56e24fc2

1457672130 has 48 divisors (see below), whose sum is σ = 3792330360. Its totient is φ = 388468224.

The previous prime is 1457672129. The next prime is 1457672131. The reversal of 1457672130 is 312767541.

It is a happy number.

1457672130 is a `hidden beast` number, since 1 + 4 + 576 + 72 + 13 + 0 = 666.

1457672130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1457672129) and next prime (1457672131).

It can be written as a sum of positive squares in 4 ways, for example, as 599123529 + 858548601 = 24477^2 + 29301^2 .

It is not an unprimeable number, because it can be changed into a prime (1457672131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173466 + ... + 181674.

Almost surely, 21457672130 is an apocalyptic number.

1457672130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1457672130 is an abundant number, since it is smaller than the sum of its proper divisors (2334658230).

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

1457672130 is a wasteful number, since it uses less digits than its factorization.

1457672130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10195 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1457672130 is about 38179.4726260068. The cubic root of 1457672130 is about 1133.8439405261.

The spelling of 1457672130 in words is "one billion, four hundred fifty-seven million, six hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1973 3946 5919 8209 9865 11838 16418 17757 19730 24627 29595 35514 41045 49254 59190 73881 82090 88785 123135 147762 177570 246270 369405 738810 16196357 32392714 48589071 80981785 97178142 145767213 161963570 242945355 291534426 485890710 728836065 1457672130