Search a number
-
+
1379474280 = 233355921649
BaseRepresentation
bin101001000111001…
…0001101101101000
310120010201112222000
41102032101231220
510311121134110
6344514531000
746120223622
oct12216215550
93503645860
101379474280
1164874a498
12325b96a60
1318ca42c92
14d12cbc12
158118d1c0
hex52391b68

1379474280 has 128 divisors (see below), whose sum is σ = 4676400000. Its totient is φ = 361608192.

The previous prime is 1379474267. The next prime is 1379474297. The reversal of 1379474280 is 824749731.

1379474280 is a `hidden beast` number, since 137 + 94 + 7 + 428 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52896 + ... + 74544.

It is an arithmetic number, because the mean of its divisors is an integer number (36534375).

Almost surely, 21379474280 is an apocalyptic number.

1379474280 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 1379474280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338200000).

1379474280 is an abundant number, since it is smaller than the sum of its proper divisors (3296925720).

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

1379474280 is a wasteful number, since it uses less digits than its factorization.

1379474280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21728 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1379474280 is about 37141.2746146386. The cubic root of 1379474280 is about 1113.1948859918.

The spelling of 1379474280 in words is "one billion, three hundred seventy-nine million, four hundred seventy-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 708 885 1062 1080 1180 1416 1593 1770 2124 2360 2655 3186 3540 4248 5310 6372 7080 7965 10620 12744 15930 21240 21649 31860 43298 63720 64947 86596 108245 129894 173192 194841 216490 259788 324735 389682 432980 519576 584523 649470 779364 865960 974205 1169046 1277291 1298940 1558728 1948410 2338092 2554582 2597880 2922615 3831873 3896820 4676184 5109164 5845230 6386455 7663746 7793640 10218328 11495619 11690460 12772910 15327492 19159365 22991238 23380920 25545820 30654984 34486857 38318730 45982476 51091640 57478095 68973714 76637460 91964952 114956190 137947428 153274920 172434285 229912380 275894856 344868570 459824760 689737140 1379474280