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11909772 = 22327167283
BaseRepresentation
bin101101011011…
…101010001100
3211102002010200
4231123222030
511022103042
61103133500
7203142240
oct55335214
924362120
1011909772
1167a4a96
123ba4290
13260cc04
141820420
1510a3c4c
hexb5ba8c

11909772 has 72 divisors (see below), whose sum is σ = 34734336. Its totient is φ = 3370464.

The previous prime is 11909771. The next prime is 11909773. The reversal of 11909772 is 27790911.

It is an interprime number because it is at equal distance from previous prime (11909771) and next prime (11909773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11909771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41943 + ... + 42225.

Almost surely, 211909772 is an apocalyptic number.

11909772 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 11909772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367168).

11909772 is an abundant number, since it is smaller than the sum of its proper divisors (22824564).

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

11909772 is a wasteful number, since it uses less digits than its factorization.

11909772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 11909772 is about 3451.0537521169. The cubic root of 11909772 is about 228.3675972284.

The spelling of 11909772 in words is "eleven million, nine hundred nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 283 334 501 566 668 849 1002 1132 1169 1503 1698 1981 2004 2338 2547 3006 3396 3507 3962 4676 5094 5943 6012 7014 7924 10188 10521 11886 14028 17829 21042 23772 35658 42084 47261 71316 94522 141783 189044 283566 330827 425349 567132 661654 850698 992481 1323308 1701396 1984962 2977443 3969924 5954886 11909772