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1252920 = 233553197
BaseRepresentation
bin100110001111000111000
32100122200110
410301320320
5310043140
642504320
713435554
oct4617070
92318613
101252920
11786379
125050a0
1334b396
14248864
1519b380
hex131e38

1252920 has 64 divisors (see below), whose sum is σ = 3849120. Its totient is φ = 326144.

The previous prime is 1252913. The next prime is 1252921. The reversal of 1252920 is 292521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6262 + ... + 6458.

21252920 is an apocalyptic number.

1252920 is a gapful number since it is divisible by the number (10) 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 1252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924560).

1252920 is an abundant number, since it is smaller than the sum of its proper divisors (2596200).

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

1252920 is a wasteful number, since it uses less digits than its factorization.

1252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1252920 is about 1119.3390907138. The cubic root of 1252920 is about 107.8055485961.

The spelling of 1252920 in words is "one million, two hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 197 212 265 318 394 424 530 591 636 788 795 985 1060 1182 1272 1576 1590 1970 2120 2364 2955 3180 3940 4728 5910 6360 7880 10441 11820 20882 23640 31323 41764 52205 62646 83528 104410 125292 156615 208820 250584 313230 417640 626460 1252920