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11987325 = 335274359
BaseRepresentation
bin101101101110…
…100101111101
3211120000112000
4231232211331
511032043300
61104532513
7203614320
oct55564575
924500460
1011987325
116848289
124021139
1326392bc
1418407b7
1510bbc00
hexb6e97d

11987325 has 96 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 5261760.

The previous prime is 11987323. The next prime is 11987377. The reversal of 11987325 is 52378911.

It is not a de Polignac number, because 11987325 - 21 = 11987323 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11987325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987323) 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, 203146 + ... + 203204.

It is an arithmetic number, because the mean of its divisors is an integer number (272800).

Almost surely, 211987325 is an apocalyptic number.

11987325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11987325 is an abundant number, since it is smaller than the sum of its proper divisors (14201475).

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

11987325 is a wasteful number, since it uses less digits than its factorization.

11987325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11987325 is about 3462.2716531202. The cubic root of 11987325 is about 228.8622131524.

The spelling of 11987325 in words is "eleven million, nine hundred eighty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 59 63 75 105 129 135 175 177 189 215 225 295 301 315 387 413 525 531 645 675 885 903 945 1075 1161 1239 1475 1505 1575 1593 1935 2065 2537 2655 2709 3225 3717 4425 4515 4725 5805 6195 7525 7611 7965 8127 9675 10325 11151 12685 13275 13545 17759 18585 22575 22833 29025 30975 38055 39825 40635 53277 55755 63425 67725 68499 88795 92925 114165 159831 190275 203175 266385 278775 342495 443975 479493 570825 799155 1331925 1712475 2397465 3995775 11987325