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1337324680 = 23559896367
BaseRepresentation
bin100111110110101…
…1111010010001000
310110012102010120201
41033231133102020
510214323342210
6340411301544
745066033526
oct11755372210
93405363521
101337324680
1162698090a
12313a4a8b4
131840a5ba3
14c9879316
157c61453a
hex4fb5f488

1337324680 has 64 divisors (see below), whose sum is σ = 3094848000. Its totient is φ = 519873024.

The previous prime is 1337324663. The next prime is 1337324687. The reversal of 1337324680 is 864237331.

It is not an unprimeable number, because it can be changed into a prime (1337324687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206857 + ... + 213223.

It is an arithmetic number, because the mean of its divisors is an integer number (48357000).

Almost surely, 21337324680 is an apocalyptic number.

1337324680 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 1337324680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547424000).

1337324680 is an abundant number, since it is smaller than the sum of its proper divisors (1757523320).

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

1337324680 is a wasteful number, since it uses less digits than its factorization.

1337324680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 1337324680 is about 36569.4500915723. The cubic root of 1337324680 is about 1101.7395835915.

The spelling of 1337324680 in words is "one billion, three hundred thirty-seven million, three hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 89 118 178 236 295 356 445 472 590 712 890 1180 1780 2360 3560 5251 6367 10502 12734 21004 25468 26255 31835 42008 50936 52510 63670 105020 127340 210040 254680 375653 566663 751306 1133326 1502612 1878265 2266652 2833315 3005224 3756530 4533304 5666630 7513060 11333260 15026120 22666520 33433117 66866234 133732468 167165585 267464936 334331170 668662340 1337324680