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1379976480 = 25335319439
BaseRepresentation
bin101001001000000…
…1100010100100000
310120011200001212000
41102100030110200
510311233221410
6344533404000
746124415021
oct12220142440
93504601760
101379976480
11648a62833
12326199600
1318cb8a73c
14d13bcc48
158123bdc0
hex5240c520

1379976480 has 96 divisors (see below), whose sum is σ = 4829932800. Its totient is φ = 367992576.

The previous prime is 1379976473. The next prime is 1379976491. The reversal of 1379976480 is 846799731.

It is a happy number.

1379976480 is a `hidden beast` number, since 1 + 3 + 7 + 99 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 155400 + ... + 164039.

It is an arithmetic number, because the mean of its divisors is an integer number (50311800).

Almost surely, 21379976480 is an apocalyptic number.

1379976480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1379976480 is an abundant number, since it is smaller than the sum of its proper divisors (3449956320).

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

1379976480 is a wasteful number, since it uses less digits than its factorization.

1379976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319463 (or 319449 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1379976480 is about 37148.0346721061. The cubic root of 1379976480 is about 1113.3299564441.

The spelling of 1379976480 in words is "one billion, three hundred seventy-nine million, nine hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 319439 638878 958317 1277756 1597195 1916634 2555512 2874951 3194390 3833268 4791585 5111024 5749902 6388780 7666536 8624853 9583170 10222048 11499804 12777560 14374755 15333072 17249706 19166340 22999608 25555120 28749510 30666144 34499412 38332680 43124265 45999216 51110240 57499020 68998824 76665360 86248530 91998432 114998040 137997648 153330720 172497060 229996080 275995296 344994120 459992160 689988240 1379976480