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13325700 = 22352431033
BaseRepresentation
bin110010110101…
…010110000100
3221002000102110
4302311112010
511402410300
61153341020
7221160303
oct62652604
927060373
1013325700
117581883
124567770
1329b753b
141aac43a
151283550
hexcb5584

13325700 has 72 divisors (see below), whose sum is σ = 39490528. Its totient is φ = 3467520.

The previous prime is 13325699. The next prime is 13325701. The reversal of 13325700 is 752331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13325699) and next prime (13325701).

It is not an unprimeable number, because it can be changed into a prime (13325701) 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, 12384 + ... + 13416.

Almost surely, 213325700 is an apocalyptic number.

13325700 is a gapful number since it is divisible by the number (10) 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 13325700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745264).

13325700 is an abundant number, since it is smaller than the sum of its proper divisors (26164828).

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

13325700 is a wasteful number, since it uses less digits than its factorization.

13325700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13325700 is about 3650.4383298448. The cubic root of 13325700 is about 237.0809600740.

The spelling of 13325700 in words is "thirteen million, three hundred twenty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1033 1075 1290 2066 2150 2580 3099 3225 4132 4300 5165 6198 6450 10330 12396 12900 15495 20660 25825 30990 44419 51650 61980 77475 88838 103300 133257 154950 177676 222095 266514 309900 444190 533028 666285 888380 1110475 1332570 2220950 2665140 3331425 4441900 6662850 13325700