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1379631240 = 2332513294793
BaseRepresentation
bin101001000111011…
…1000000010001000
310120011000112021100
41102032320002020
510311141144430
6344522141400
746121446341
oct12216700210
93504015240
101379631240
11648847409
12326051860
1318ca99560
14d132d0c8
15811be960
hex523b8088

1379631240 has 96 divisors (see below), whose sum is σ = 4828725720. Its totient is φ = 339600384.

The previous prime is 1379631217. The next prime is 1379631257. The reversal of 1379631240 is 421369731.

1379631240 is a `hidden beast` number, since 13 + 7 + 9 + 631 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 751527396 + 628103844 = 27414^2 + 25062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1379631195 and 1379631204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142717 + ... + 152076.

Almost surely, 21379631240 is an apocalyptic number.

1379631240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1379631240 is an abundant number, since it is smaller than the sum of its proper divisors (3449094480).

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

1379631240 is a wasteful number, since it uses less digits than its factorization.

1379631240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294823 (or 294816 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1379631240 is about 37143.3875676412. The cubic root of 1379631240 is about 1113.2371050809.

The spelling of 1379631240 in words is "one billion, three hundred seventy-nine million, six hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 294793 589586 884379 1179172 1473965 1768758 2358344 2653137 2947930 3537516 3832309 4421895 5306274 5895860 7075032 7664618 8843790 10612548 11496927 11791720 13265685 15329236 17687580 19161545 21225096 22993854 26531370 30658472 34490781 35375160 38323090 45987708 53062740 57484635 68981562 76646180 91975416 106125480 114969270 137963124 153292360 172453905 229938540 275926248 344907810 459877080 689815620 1379631240