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1336491680 = 255291132549
BaseRepresentation
bin100111110101001…
…0011111010100000
310110010211210220212
41033222103322200
510214120213210
6340341353252
745055664126
oct11752237240
93403753825
101336491680
11626461a87
12313708828
13183b739a4
14c96dd916
157c4ec805
hex4fa93ea0

1336491680 has 96 divisors (see below), whose sum is σ = 3296538000. Its totient is φ = 511393792.

The previous prime is 1336491677. The next prime is 1336491683. The reversal of 1336491680 is 861946331.

It is an interprime number because it is at equal distance from previous prime (1336491677) and next prime (1336491683).

It can be written as a sum of positive squares in 8 ways, for example, as 494795536 + 841696144 = 22244^2 + 29012^2 .

It is not an unprimeable number, because it can be changed into a prime (1336491683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523046 + ... + 525594.

Almost surely, 21336491680 is an apocalyptic number.

1336491680 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 1336491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648269000).

1336491680 is an abundant number, since it is smaller than the sum of its proper divisors (1960046320).

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

1336491680 is a wasteful number, since it uses less digits than its factorization.

1336491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 1336491680 is about 36558.0590294397. The cubic root of 1336491680 is about 1101.5107835841.

The spelling of 1336491680 in words is "one billion, three hundred thirty-six million, four hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 113 116 145 160 226 232 290 452 464 565 580 904 928 1130 1160 1808 2260 2320 2549 3277 3616 4520 4640 5098 6554 9040 10196 12745 13108 16385 18080 20392 25490 26216 32770 40784 50980 52432 65540 73921 81568 101960 104864 131080 147842 203920 262160 288037 295684 369605 407840 524320 576074 591368 739210 1152148 1182736 1440185 1478420 2304296 2365472 2880370 2956840 4608592 5760740 5913680 8353073 9217184 11521480 11827360 16706146 23042960 33412292 41765365 46085920 66824584 83530730 133649168 167061460 267298336 334122920 668245840 1336491680