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13533372 = 2233292149
BaseRepresentation
bin110011101000…
…000010111100
3221110120022000
4303220002330
511431031442
61202022300
7223013616
oct63500274
927416260
1013533372
117703906
124647990
132a5ac18
141b23db6
1512c4d4c
hexce80bc

13533372 has 72 divisors (see below), whose sum is σ = 36582000. Its totient is φ = 4326336.

The previous prime is 13533371. The next prime is 13533383. The reversal of 13533372 is 27333531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90754 + ... + 90902.

Almost surely, 213533372 is an apocalyptic number.

13533372 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 13533372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291000).

13533372 is an abundant number, since it is smaller than the sum of its proper divisors (23048628).

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

13533372 is a wasteful number, since it uses less digits than its factorization.

13533372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 13533372 is about 3678.7731650647. The cubic root of 13533372 is about 238.3061991158.

The spelling of 13533372 in words is "thirteen million, five hundred thirty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 149 174 261 298 348 447 522 596 783 841 894 1044 1341 1566 1682 1788 2523 2682 3132 3364 4023 4321 5046 5364 7569 8046 8642 10092 12963 15138 16092 17284 22707 25926 30276 38889 45414 51852 77778 90828 116667 125309 155556 233334 250618 375927 466668 501236 751854 1127781 1503708 2255562 3383343 4511124 6766686 13533372