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1380147104 = 25747337389
BaseRepresentation
bin101001001000011…
…0101111110100000
310120011222201220102
41102100311332200
510311304201404
6344541201532
746126025330
oct12220657640
93504881812
101380147104
11649069a46
123262602a8
1318cc1a2bb
14d14250c0
158127271e
hex52435fa0

1380147104 has 96 divisors (see below), whose sum is σ = 3188989440. Its totient is φ = 575705088.

The previous prime is 1380147073. The next prime is 1380147191. The reversal of 1380147104 is 4017410831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3547742 + ... + 3548130.

It is an arithmetic number, because the mean of its divisors is an integer number (33218640).

Almost surely, 21380147104 is an apocalyptic number.

1380147104 is a gapful number since it is divisible by the number (14) 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 1380147104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594494720).

1380147104 is an abundant number, since it is smaller than the sum of its proper divisors (1808842336).

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

1380147104 is a wasteful number, since it uses less digits than its factorization.

1380147104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1380147104 is about 37150.3311425349. The cubic root of 1380147104 is about 1113.3758395889.

Adding to 1380147104 its reverse (4017410831), we get a palindrome (5397557935).

The spelling of 1380147104 in words is "one billion, three hundred eighty million, one hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 337 376 389 658 674 752 778 1316 1348 1504 1556 2359 2632 2696 2723 3112 4718 5264 5392 5446 6224 9436 10528 10784 10892 12448 15839 18283 18872 21784 31678 36566 37744 43568 63356 73132 75488 87136 110873 126712 127981 131093 146264 221746 253424 255962 262186 292528 443492 506848 511924 524372 585056 886984 917651 1023848 1048744 1773968 1835302 2047696 2097488 3547936 3670604 4095392 4194976 6161371 7341208 12322742 14682416 24645484 29364832 43129597 49290968 86259194 98581936 172518388 197163872 345036776 690073552 1380147104