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1252290 = 23513319
BaseRepresentation
bin100110001101111000010
32100121211010
410301233002
5310033130
642501350
713433664
oct4615702
92317733
101252290
11785956
12504856
1334b000
14248534
1519b0b0
hex131bc2

1252290 has 64 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 292032.

The previous prime is 1252283. The next prime is 1252331. The reversal of 1252290 is 922521.

1252290 = T25 + T26 + ... + T195.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65901 + ... + 65919.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

21252290 is an apocalyptic number.

1252290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).

1252290 is an abundant number, since it is smaller than the sum of its proper divisors (2174910).

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

1252290 is a wasteful number, since it uses less digits than its factorization.

1252290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

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

The square root of 1252290 is about 1119.0576392662. The cubic root of 1252290 is about 107.7874764440.

It can be divided in two parts, 125 and 2290, that added together give a triangular number (2415 = T69).

The spelling of 1252290 in words is "one million, two hundred fifty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 169 190 195 247 285 338 390 494 507 570 741 845 1014 1235 1482 1690 2197 2470 2535 3211 3705 4394 5070 6422 6591 7410 9633 10985 13182 16055 19266 21970 32110 32955 41743 48165 65910 83486 96330 125229 208715 250458 417430 626145 1252290