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1338706980 = 2233513190699
BaseRepresentation
bin100111111001011…
…0000110000100100
310110022000100202000
41033302300300210
510220202110410
6340501045300
745113551542
oct11762606044
93408010660
101338706980
11627735406
123143b6830
1318446b110
14c9b18d92
157c7d8dc0
hex4fcb0c24

1338706980 has 96 divisors (see below), whose sum is σ = 4485264000. Its totient is φ = 329526144.

The previous prime is 1338706979. The next prime is 1338706981. The reversal of 1338706980 is 896078331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1338706979) and next prime (1338706981).

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

It is not an unprimeable number, because it can be changed into a prime (1338706981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88330 + ... + 102369.

It is an arithmetic number, because the mean of its divisors is an integer number (46721500).

Almost surely, 21338706980 is an apocalyptic number.

1338706980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338706980 is an abundant number, since it is smaller than the sum of its proper divisors (3146557020).

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

1338706980 is a wasteful number, since it uses less digits than its factorization.

1338706980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190730 (or 190722 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1338706980 is about 36588.3448655443. The cubic root of 1338706980 is about 1102.1190502069.

The spelling of 1338706980 in words is "one billion, three hundred thirty-eight million, seven hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 190699 381398 572097 762796 953495 1144194 1716291 1906990 2288388 2479087 2860485 3432582 3813980 4958174 5148873 5720970 6865164 7437261 8581455 9916348 10297746 11441940 12395435 14874522 17162910 20595492 22311783 24790870 25744365 29749044 34325820 37186305 44623566 49581740 51488730 66935349 74372610 89247132 102977460 111558915 133870698 148745220 223117830 267741396 334676745 446235660 669353490 1338706980