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1252152 = 2333111731
BaseRepresentation
bin100110001101100111000
32100121122000
410301230320
5310032102
642501000
713433406
oct4615470
92317560
101252152
11785840
12504760
1334ac25
14248476
1519b01c
hex131b38

1252152 has 128 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 345600.

The previous prime is 1252151. The next prime is 1252159. The reversal of 1252152 is 2512521.

It is a super-2 number, since 2×12521522 = 3135769262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40377 + ... + 40407.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

21252152 is an apocalyptic number.

1252152 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 1252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1252152 is an abundant number, since it is smaller than the sum of its proper divisors (2895048).

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

1252152 is a wasteful number, since it uses less digits than its factorization.

1252152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 1252152 is about 1118.9959785451. The cubic root of 1252152 is about 107.7835169730.

Adding to 1252152 its reverse (2512521), we get a palindrome (3764673).

The spelling of 1252152 in words is "one million, two hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 31 33 34 36 44 51 54 62 66 68 72 88 93 99 102 108 124 132 136 153 186 187 198 204 216 248 264 279 297 306 341 372 374 396 408 459 527 558 561 594 612 682 744 748 792 837 918 1023 1054 1116 1122 1188 1224 1364 1496 1581 1674 1683 1836 2046 2108 2232 2244 2376 2728 3069 3162 3348 3366 3672 4092 4216 4488 4743 5049 5797 6138 6324 6696 6732 8184 9207 9486 10098 11594 12276 12648 13464 14229 17391 18414 18972 20196 23188 24552 28458 34782 36828 37944 40392 46376 52173 56916 69564 73656 104346 113832 139128 156519 208692 313038 417384 626076 1252152