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16880325 = 3527113779
BaseRepresentation
bin100000001100…
…1001011000101
31011202121110020
41000121023011
513310132300
61401445353
7263323530
oct100311305
934677406
1016880325
11958a490
1257a0859
133660477
142355a17
1517368a0
hex10192c5

16880325 has 96 divisors (see below), whose sum is σ = 36188160. Its totient is φ = 6739200.

The previous prime is 16880323. The next prime is 16880333. The reversal of 16880325 is 52308861.

It is a happy number.

It is not a de Polignac number, because 16880325 - 21 = 16880323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16880323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213636 + ... + 213714.

It is an arithmetic number, because the mean of its divisors is an integer number (376960).

Almost surely, 216880325 is an apocalyptic number.

16880325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16880325 is an abundant number, since it is smaller than the sum of its proper divisors (19307835).

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

16880325 is a wasteful number, since it uses less digits than its factorization.

16880325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 16880325 is about 4108.5672685256. The cubic root of 16880325 is about 256.5233687846.

It can be divided in two parts, 16880 and 325, that added together give a triangular number (17205 = T185).

The spelling of 16880325 in words is "sixteen million, eight hundred eighty thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 37 55 75 77 79 105 111 165 175 185 231 237 259 275 385 395 407 525 553 555 777 825 869 925 1155 1185 1221 1295 1659 1925 1975 2035 2607 2765 2775 2849 2923 3885 4345 5775 5925 6083 6105 6475 8295 8547 8769 10175 13035 13825 14245 14615 18249 19425 20461 21725 30415 30525 32153 41475 42735 43845 61383 65175 71225 73075 91245 96459 102305 152075 160765 213675 219225 225071 306915 456225 482295 511525 675213 803825 1125355 1534575 2411475 3376065 5626775 16880325