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1374584640 = 26351113171931
BaseRepresentation
bin101000111101110…
…0111111101000000
310112210112010122020
41101323213331000
510303343202030
6344222041440
746030530252
oct12173477500
93483463566
101374584640
11645a0a870
12324419280
1318ba204c0
14d07b7cd2
1580a24510
hex51ee7f40

1374584640 has 896 divisors, whose sum is σ = 5898977280. Its totient is φ = 265420800.

The previous prime is 1374584611. The next prime is 1374584689. The reversal of 1374584640 is 464854731.

It is a junction number, because it is equal to n+sod(n) for n = 1374584592 and 1374584601.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 44341425 + ... + 44341455.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 21374584640 is an apocalyptic number.

1374584640 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 1374584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949488640).

1374584640 is an abundant number, since it is smaller than the sum of its proper divisors (4524392640).

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

1374584640 is a wasteful number, since it uses less digits than its factorization.

1374584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 1374584640 is about 37075.3912993511. The cubic root of 1374584640 is about 1111.8780640238.

The spelling of 1374584640 in words is "one billion, three hundred seventy-four million, five hundred eighty-four thousand, six hundred forty".