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1298442132 = 22321313121179
BaseRepresentation
bin100110101100100…
…1010011110010100
310100111020200202100
41031121022132110
510124400122012
6332502042100
744114401401
oct11531123624
93314220670
101298442132
11606a33879
12302a19330
13179010b70
14c46372a8
1578ed38dc
hex4d64a794

1298442132 has 72 divisors (see below), whose sum is σ = 3561798240. Its totient is φ = 396452160.

The previous prime is 1298442113. The next prime is 1298442139. The reversal of 1298442132 is 2312448921.

1298442132 is a `hidden beast` number, since 129 + 84 + 421 + 32 = 666.

It is a super-3 number, since 3×12984421323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298442139) 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, 50719 + ... + 71897.

It is an arithmetic number, because the mean of its divisors is an integer number (49469420).

Almost surely, 21298442132 is an apocalyptic number.

1298442132 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 1298442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780899120).

1298442132 is an abundant number, since it is smaller than the sum of its proper divisors (2263356108).

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

1298442132 is a wasteful number, since it uses less digits than its factorization.

1298442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21333 (or 21328 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1298442132 is about 36033.9025363615. The cubic root of 1298442132 is about 1090.9567482741.

The spelling of 1298442132 in words is "one billion, two hundred ninety-eight million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 234 262 393 468 524 786 1179 1572 1703 2358 3406 4716 5109 6812 10218 15327 20436 21179 30654 42358 61308 63537 84716 127074 190611 254148 275327 381222 550654 762444 825981 1101308 1651962 2477943 2774449 3303924 4955886 5548898 8323347 9911772 11097796 16646694 24970041 33293388 36067837 49940082 72135674 99880164 108203511 144271348 216407022 324610533 432814044 649221066 1298442132