Search a number
-
+
11662640 = 2451129457
BaseRepresentation
bin101100011111…
…010100110000
3210221112010122
4230133110300
510441201030
61053545412
7201062603
oct54372460
923845118
1011662640
116646350
123aa5268
132554592
14179833a
1510558e5
hexb1f530

11662640 has 80 divisors (see below), whose sum is σ = 30667680. Its totient is φ = 4085760.

The previous prime is 11662639. The next prime is 11662657. The reversal of 11662640 is 4626611.

It is a happy number.

11662640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25292 + ... + 25748.

It is an arithmetic number, because the mean of its divisors is an integer number (383346).

Almost surely, 211662640 is an apocalyptic number.

11662640 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 11662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333840).

11662640 is an abundant number, since it is smaller than the sum of its proper divisors (19005040).

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

11662640 is a wasteful number, since it uses less digits than its factorization.

11662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 11662640 is about 3415.0607608065. The cubic root of 11662640 is about 226.7769743760.

The spelling of 11662640 in words is "eleven million, six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 457 464 580 638 880 914 1160 1276 1595 1828 2285 2320 2552 3190 3656 4570 5027 5104 6380 7312 9140 10054 12760 13253 18280 20108 25135 25520 26506 36560 40216 50270 53012 66265 80432 100540 106024 132530 145783 201080 212048 265060 291566 402160 530120 583132 728915 1060240 1166264 1457830 2332528 2915660 5831320 11662640