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1349271180 = 2232513157221
BaseRepresentation
bin101000001101100…
…0011111010001100
310111000220002002200
41100123003322030
510230403134210
6341515321500
745302421135
oct12033037214
93430802080
101349271180
116326a0454
12317a50290
131866c971a
14cb2a8c8c
157d6c40c0
hex506c3e8c

1349271180 has 72 divisors (see below), whose sum is σ = 4124103984. Its totient is φ = 357052800.

The previous prime is 1349271179. The next prime is 1349271199. The reversal of 1349271180 is 811729431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5031 + ... + 52190.

It is an arithmetic number, because the mean of its divisors is an integer number (57279222).

Almost surely, 21349271180 is an apocalyptic number.

1349271180 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 1349271180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062051992).

1349271180 is an abundant number, since it is smaller than the sum of its proper divisors (2774832804).

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

1349271180 is a wasteful number, since it uses less digits than its factorization.

1349271180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57367 (or 57362 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1349271180 is about 36732.4268188205. The cubic root of 1349271180 is about 1105.0105252098.

The spelling of 1349271180 in words is "one billion, three hundred forty-nine million, two hundred seventy-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 57221 114442 171663 228884 286105 343326 514989 572210 686652 858315 1029978 1144420 1716630 2059956 2574945 3433260 5149890 7495951 10299780 14991902 22487853 29983804 37479755 44975706 67463559 74959510 89951412 112439265 134927118 149919020 224878530 269854236 337317795 449757060 674635590 1349271180