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1337330680 = 235741911399
BaseRepresentation
bin100111110110110…
…0000101111111000
310110012102102210221
41033231200233320
510214324040210
6340411345424
745066060160
oct11755405770
93405372727
101337330680
11626985374
12313a52274
131840a883a
14c987b5a0
157c6161da
hex4fb60bf8

1337330680 has 64 divisors (see below), whose sum is σ = 3447360000. Its totient is φ = 457378944.

The previous prime is 1337330677. The next prime is 1337330693. The reversal of 1337330680 is 860337331.

It is a super-3 number, since 3×13373306803 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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, 111621 + ... + 123019.

It is an arithmetic number, because the mean of its divisors is an integer number (53865000).

Almost surely, 21337330680 is an apocalyptic number.

1337330680 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 1337330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680000).

1337330680 is an abundant number, since it is smaller than the sum of its proper divisors (2110029320).

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

1337330680 is a wasteful number, since it uses less digits than its factorization.

1337330680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11832 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 1337330680 is about 36569.5321271684. The cubic root of 1337330680 is about 1101.7412312661.

The spelling of 1337330680 in words is "one billion, three hundred thirty-seven million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 419 838 1676 2095 2933 3352 4190 5866 8380 11399 11732 14665 16760 22798 23464 29330 45596 56995 58660 79793 91192 113990 117320 159586 227980 319172 398965 455960 638344 797930 1595860 3191720 4776181 9552362 19104724 23880905 33433267 38209448 47761810 66866534 95523620 133733068 167166335 191047240 267466136 334332670 668665340 1337330680