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1375704640 = 26512733851
BaseRepresentation
bin101000111111111…
…1001011001000000
310112212122000222201
41101333321121000
510304140022030
6344302042544
746043203462
oct12177713100
93485560881
101375704640
11646605292
12324879454
1318c02321b
14d09ca132
1580b962ca
hex51ff9640

1375704640 has 56 divisors (see below), whose sum is σ = 3301788672. Its totient is φ = 545932800.

The previous prime is 1375704613. The next prime is 1375704641. The reversal of 1375704640 is 464075731.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1375704640.

It is not an unprimeable number, because it can be changed into a prime (1375704641) 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, 23715 + ... + 57565.

It is an arithmetic number, because the mean of its divisors is an integer number (58960512).

Almost surely, 21375704640 is an apocalyptic number.

1375704640 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 1375704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650894336).

1375704640 is an abundant number, since it is smaller than the sum of its proper divisors (1926084032).

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

1375704640 is a wasteful number, since it uses less digits than its factorization.

1375704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33995 (or 33985 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 1375704640 is about 37090.4925823317. The cubic root of 1375704640 is about 1112.1799650073.

The spelling of 1375704640 in words is "one billion, three hundred seventy-five million, seven hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 4064 5080 8128 10160 20320 33851 40640 67702 135404 169255 270808 338510 541616 677020 1083232 1354040 2166464 2708080 4299077 5416160 8598154 10832320 17196308 21495385 34392616 42990770 68785232 85981540 137570464 171963080 275140928 343926160 687852320 1375704640