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1291206252 = 2237211319433
BaseRepresentation
bin100110011110110…
…0011111001101100
310022222122001222210
41030331203321230
510121022100002
6332043010420
743666033500
oct11475437154
93288561883
101291206252
11602941406
12300509a10
1317767948b
14c36b2300
157855496c
hex4cf63e6c

1291206252 has 72 divisors (see below), whose sum is σ = 3535899696. Its totient is φ = 365632512.

The previous prime is 1291206251. The next prime is 1291206277. The reversal of 1291206252 is 2526021921.

It is not an unprimeable number, because it can be changed into a prime (1291206251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56728 + ... + 76160.

It is an arithmetic number, because the mean of its divisors is an integer number (49109718).

Almost surely, 21291206252 is an apocalyptic number.

1291206252 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 1291206252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767949848).

1291206252 is an abundant number, since it is smaller than the sum of its proper divisors (2244693444).

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

1291206252 is a wasteful number, since it uses less digits than its factorization.

1291206252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19567 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1291206252 is about 35933.3584848397. The cubic root of 1291206252 is about 1088.9264327947.

The spelling of 1291206252 in words is "one billion, two hundred ninety-one million, two hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1356 1582 2373 3164 4746 5537 9492 11074 16611 19433 22148 33222 38866 58299 66444 77732 116598 136031 233196 272062 408093 544124 816186 952217 1632372 1904434 2195929 2856651 3808868 4391858 5713302 6587787 8783716 11426604 13175574 15371503 26351148 30743006 46114509 61486012 92229018 107600521 184458036 215201042 322801563 430402084 645603126 1291206252