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1349970192 = 24338233797
BaseRepresentation
bin101000001110110…
…1110100100010000
310111002012120222000
41100131232210100
510231043021232
6341542314000
745311362104
oct12035564420
93432176860
101349970192
1163302864a
12318128900
131868b293c
14cb40b904
157d7b127c
hex5076e910

1349970192 has 80 divisors (see below), whose sum is σ = 3880644480. Its totient is φ = 449324928.

The previous prime is 1349970173. The next prime is 1349970227. The reversal of 1349970192 is 2910799431.

1349970192 is a `hidden beast` number, since 1 + 3 + 499 + 70 + 1 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353638 + ... + 357434.

It is an arithmetic number, because the mean of its divisors is an integer number (48508056).

Almost surely, 21349970192 is an apocalyptic number.

1349970192 is a gapful number since it is divisible by the number (12) 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 1349970192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940322240).

1349970192 is an abundant number, since it is smaller than the sum of its proper divisors (2530674288).

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

1349970192 is a wasteful number, since it uses less digits than its factorization.

1349970192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1349970192 is about 36741.9405040071. The cubic root of 1349970192 is about 1105.2013151907.

The spelling of 1349970192 in words is "one billion, three hundred forty-nine million, nine hundred seventy thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 823 1646 2469 3292 3797 4938 6584 7407 7594 9876 11391 13168 14814 15188 19752 22221 22782 29628 30376 34173 39504 44442 45564 59256 60752 68346 88884 91128 102519 118512 136692 177768 182256 205038 273384 355536 410076 546768 820152 1640304 3124931 6249862 9374793 12499724 18749586 24999448 28124379 37499172 49998896 56248758 74998344 84373137 112497516 149996688 168746274 224995032 337492548 449990064 674985096 1349970192