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1374882912 = 2532131572339
BaseRepresentation
bin101000111110011…
…0000110001100000
310112211002021210100
41101330300301200
510303432223122
6344232302400
746033211664
oct12174606140
93484067710
101374882912
116460a3977
12324541a00
1318bac61b0
14d08548a4
1580a82aac
hex51f30c60

1374882912 has 144 divisors (see below), whose sum is σ = 4239209520. Its totient is φ = 420166656.

The previous prime is 1374882893. The next prime is 1374882913. The reversal of 1374882912 is 2192884731.

It is a happy number.

1374882912 is a `hidden beast` number, since 137 + 488 + 29 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374882913) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 586639 + ... + 588977.

It is an arithmetic number, because the mean of its divisors is an integer number (29438955).

Almost surely, 21374882912 is an apocalyptic number.

1374882912 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 1374882912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119604760).

1374882912 is an abundant number, since it is smaller than the sum of its proper divisors (2864326608).

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

1374882912 is a wasteful number, since it uses less digits than its factorization.

1374882912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2514 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1374882912 is about 37079.4135875960. The cubic root of 1374882912 is about 1111.9584805849.

The spelling of 1374882912 in words is "one billion, three hundred seventy-four million, eight hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 157 208 234 288 312 314 416 468 471 624 628 936 942 1248 1256 1413 1872 1884 2041 2339 2512 2826 3744 3768 4082 4678 5024 5652 6123 7017 7536 8164 9356 11304 12246 14034 15072 16328 18369 18712 21051 22608 24492 28068 30407 32656 36738 37424 42102 45216 48984 56136 60814 65312 73476 74848 84204 91221 97968 112272 121628 146952 168408 182442 195936 224544 243256 273663 293904 336816 364884 367223 486512 547326 587808 673632 729768 734446 973024 1094652 1101669 1459536 1468892 2189304 2203338 2919072 2937784 3305007 4378608 4406676 4773899 5875568 6610014 8757216 8813352 9547798 11751136 13220028 14321697 17626704 19095596 26440056 28643394 35253408 38191192 42965091 52880112 57286788 76382384 85930182 105760224 114573576 152764768 171860364 229147152 343720728 458294304 687441456 1374882912