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12953250 = 2335319101
BaseRepresentation
bin110001011010…
…011010100010
3220101002112000
4301122122202
511304001000
61141344430
7215046402
oct61323242
926332460
1012953250
117347a72
124408116
1328b6b5b
141a12802
15120d000
hexc5a6a2

12953250 has 128 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 3240000.

The previous prime is 12953249. The next prime is 12953261. The reversal of 12953250 is 5235921.

12953250 is a `hidden beast` number, since 129 + 532 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128200 + ... + 128300.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 212953250 is an apocalyptic number.

12953250 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 12953250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

12953250 is an abundant number, since it is smaller than the sum of its proper divisors (25235550).

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

12953250 is a wasteful number, since it uses less digits than its factorization.

12953250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 12953250 is about 3599.0623778979. The cubic root of 12953250 is about 234.8512715170.

It can be divided in two parts, 12953 and 250, that added together give a triangular number (13203 = T162).

The spelling of 12953250 in words is "twelve million, nine hundred fifty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 101 114 125 135 150 171 190 202 225 250 270 285 303 342 375 450 475 505 513 570 606 675 750 855 909 950 1010 1026 1125 1350 1425 1515 1710 1818 1919 2250 2375 2525 2565 2727 2850 3030 3375 3838 4275 4545 4750 5050 5130 5454 5757 6750 7125 7575 8550 9090 9595 11514 12625 12825 13635 14250 15150 17271 19190 21375 22725 25250 25650 27270 28785 34542 37875 42750 45450 47975 51813 57570 64125 68175 75750 86355 95950 103626 113625 128250 136350 143925 172710 227250 239875 259065 287850 340875 431775 479750 518130 681750 719625 863550 1295325 1439250 2158875 2590650 4317750 6476625 12953250