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1374439120 = 245171010617
BaseRepresentation
bin101000111101100…
…0100011011010000
310112210020202000121
41101323010123100
510303324022440
6344215000024
746026353065
oct12173043320
93483222017
101374439120
116459204aa
12324369014
1318b99c1b2
14d077ac6c
15809e634a
hex51ec46d0

1374439120 has 40 divisors (see below), whose sum is σ = 3383549064. Its totient is φ = 517435392.

The previous prime is 1374439117. The next prime is 1374439127. The reversal of 1374439120 is 219344731.

It can be written as a sum of positive squares in 4 ways, for example, as 722964544 + 651474576 = 26888^2 + 25524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374439127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503949 + ... + 506668.

Almost surely, 21374439120 is an apocalyptic number.

1374439120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1374439120 is an abundant number, since it is smaller than the sum of its proper divisors (2009109944).

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

1374439120 is a wasteful number, since it uses less digits than its factorization.

1374439120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010647 (or 1010641 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1374439120 is about 37073.4287596926. The cubic root of 1374439120 is about 1111.8388264241.

The spelling of 1374439120 in words is "one billion, three hundred seventy-four million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1010617 2021234 4042468 5053085 8084936 10106170 16169872 17180489 20212340 34360978 40424680 68721956 80849360 85902445 137443912 171804890 274887824 343609780 687219560 1374439120