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1336056630 = 2351911320743
BaseRepresentation
bin100111110100010…
…1001101100110110
310110010000201010220
41033220221230312
510214012303010
6340324155210
745052202556
oct11750515466
93403021126
101336056630
11626195137
12313538b06
13183a5096c
14c9629166
157c463970
hex4fa29b36

1336056630 has 64 divisors (see below), whose sum is σ = 3405335040. Its totient is φ = 334526976.

The previous prime is 1336056619. The next prime is 1336056641. The reversal of 1336056630 is 366506331.

1336056630 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1336056619) and next prime (1336056641).

It is a junction number, because it is equal to n+sod(n) for n = 1336056591 and 1336056600.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54039 + ... + 74781.

It is an arithmetic number, because the mean of its divisors is an integer number (53208360).

Almost surely, 21336056630 is an apocalyptic number.

1336056630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336056630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702667520).

1336056630 is an abundant number, since it is smaller than the sum of its proper divisors (2069278410).

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

1336056630 is a wasteful number, since it uses less digits than its factorization.

1336056630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20885.

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 1336056630 is about 36552.1084207190. The cubic root of 1336056630 is about 1101.3912506607.

The spelling of 1336056630 in words is "one billion, three hundred thirty-six million, fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 113 114 190 226 285 339 565 570 678 1130 1695 2147 3390 4294 6441 10735 12882 20743 21470 32205 41486 62229 64410 103715 124458 207430 311145 394117 622290 788234 1182351 1970585 2343959 2364702 3941170 4687918 5911755 7031877 11719795 11823510 14063754 23439590 35159385 44535221 70318770 89070442 133605663 222676105 267211326 445352210 668028315 1336056630