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1374162440 = 235745710739
BaseRepresentation
bin101000111101000…
…0000111000001000
310112202201200111012
41101322000320020
510303241144230
6344205023052
746024121330
oct12172007010
93482650435
101374162440
11645751642
12324254a88
1318b903291
14d07080c0
158098e395
hex51e80e08

1374162440 has 64 divisors (see below), whose sum is σ = 3541622400. Its totient is φ = 470066688.

The previous prime is 1374162407. The next prime is 1374162443. The reversal of 1374162440 is 442614731.

It is a junction number, because it is equal to n+sod(n) for n = 1374162397 and 1374162406.

It is not an unprimeable number, because it can be changed into a prime (1374162443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122591 + ... + 133329.

It is an arithmetic number, because the mean of its divisors is an integer number (55337850).

Almost surely, 21374162440 is an apocalyptic number.

1374162440 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 1374162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770811200).

1374162440 is an abundant number, since it is smaller than the sum of its proper divisors (2167459960).

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

1374162440 is a wasteful number, since it uses less digits than its factorization.

1374162440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11214 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 1374162440 is about 37069.6970583791. The cubic root of 1374162440 is about 1111.7642155746.

The spelling of 1374162440 in words is "one billion, three hundred seventy-four million, one hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 457 914 1828 2285 3199 3656 4570 6398 9140 10739 12796 15995 18280 21478 25592 31990 42956 53695 63980 75173 85912 107390 127960 150346 214780 300692 375865 429560 601384 751730 1503460 3006920 4907723 9815446 19630892 24538615 34354061 39261784 49077230 68708122 98154460 137416244 171770305 196308920 274832488 343540610 687081220 1374162440