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1407521412 = 2232115096983
BaseRepresentation
bin101001111100101…
…0001001010000100
310122002111111101200
41103321101022010
510340311141122
6351400022500
746610506653
oct12371211204
93562444350
101407521412
11662566740
12333461a30
131957b310b
14d4d0d19a
158387d5ac
hex53e51284

1407521412 has 72 divisors (see below), whose sum is σ = 3889529280. Its totient is φ = 425622720.

The previous prime is 1407521411. The next prime is 1407521417. The reversal of 1407521412 is 2141257041.

It is a super-2 number, since 2×14075214122 = 3962233050476947488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1407521411) 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, 198073 + ... + 205055.

It is an arithmetic number, because the mean of its divisors is an integer number (54021240).

Almost surely, 21407521412 is an apocalyptic number.

1407521412 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 1407521412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944764640).

1407521412 is an abundant number, since it is smaller than the sum of its proper divisors (2482007868).

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

1407521412 is a wasteful number, since it uses less digits than its factorization.

1407521412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1407521412 is about 37516.9483300548. The cubic root of 1407521412 is about 1120.6887271136.

Adding to 1407521412 its reverse (2141257041), we get a palindrome (3548778453).

The spelling of 1407521412 in words is "one billion, four hundred seven million, five hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 509 1018 1527 2036 3054 4581 5599 6108 6983 9162 11198 13966 16797 18324 20949 22396 27932 33594 41898 50391 62847 67188 76813 83796 100782 125694 153626 201564 230439 251388 307252 460878 691317 921756 1382634 2765268 3554347 7108694 10663041 14217388 21326082 31989123 39097817 42652164 63978246 78195634 117293451 127956492 156391268 234586902 351880353 469173804 703760706 1407521412