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13953150 = 23252101307
BaseRepresentation
bin110101001110…
…100001111110
3222020220010100
4311032201332
512033000100
61215021530
7226412511
oct65164176
928226110
1013953150
117970232
12480a8a6
132b77003
141bd2d78
151359400
hexd4e87e

13953150 has 72 divisors (see below), whose sum is σ = 37981944. Its totient is φ = 3672000.

The previous prime is 13953143. The next prime is 13953169. The reversal of 13953150 is 5135931.

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 35 ways as a sum of consecutive naturals, for example, 45297 + ... + 45603.

It is an arithmetic number, because the mean of its divisors is an integer number (527527).

Almost surely, 213953150 is an apocalyptic number.

13953150 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 13953150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990972).

13953150 is an abundant number, since it is smaller than the sum of its proper divisors (24028794).

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

13953150 is a wasteful number, since it uses less digits than its factorization.

13953150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 13953150 is about 3735.3915457419. The cubic root of 13953150 is about 240.7450803367.

The spelling of 13953150 in words is "thirteen million, nine hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 307 450 505 606 614 909 921 1010 1515 1535 1818 1842 2525 2763 3030 3070 4545 4605 5050 5526 7575 7675 9090 9210 13815 15150 15350 22725 23025 27630 31007 45450 46050 62014 69075 93021 138150 155035 186042 279063 310070 465105 558126 775175 930210 1395315 1550350 2325525 2790630 4651050 6976575 13953150