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11928860 = 22529131157
BaseRepresentation
bin101101100000…
…010100011100
3211110001022122
4231200110130
511023210420
61103402112
7203252006
oct55402434
924401278
1011928860
116808369
123bb3338
1326187c8
141827376
1510a9725
hexb6051c

11928860 has 48 divisors (see below), whose sum is σ = 26278560. Its totient is φ = 4542720.

The previous prime is 11928859. The next prime is 11928863. The reversal of 11928860 is 6882911.

It is a self number, because there is not a number n which added to its sum of digits gives 11928860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11928863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75902 + ... + 76058.

It is an arithmetic number, because the mean of its divisors is an integer number (547470).

Almost surely, 211928860 is an apocalyptic number.

11928860 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 11928860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139280).

11928860 is an abundant number, since it is smaller than the sum of its proper divisors (14349700).

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

11928860 is a wasteful number, since it uses less digits than its factorization.

11928860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 11928860 is about 3453.8181770325. The cubic root of 11928860 is about 228.4895350225.

It can be divided in two parts, 11 and 928860, that multiplied together give a triangular number (10217460 = T4520).

The spelling of 11928860 in words is "eleven million, nine hundred twenty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 157 262 290 314 524 580 628 655 785 1310 1570 2620 3140 3799 4553 7598 9106 15196 18212 18995 20567 22765 37990 41134 45530 75980 82268 91060 102835 205670 411340 596443 1192886 2385772 2982215 5964430 11928860