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11623980 = 22351511283
BaseRepresentation
bin101100010101…
…111000101100
3210212120002210
4230111320230
510433431410
61053050420
7200542104
oct54257054
923776083
1011623980
11661a2a5
123a86a10
13253cac4
141788204
151049220
hexb15e2c

11623980 has 48 divisors (see below), whose sum is σ = 32788224. Its totient is φ = 3076800.

The previous prime is 11623979. The next prime is 11623987. The reversal of 11623980 is 8932611.

11623980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116239802 = 270233822080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11623987) 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, 8419 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (683088).

Almost surely, 211623980 is an apocalyptic number.

11623980 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 11623980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394112).

11623980 is an abundant number, since it is smaller than the sum of its proper divisors (21164244).

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

11623980 is a wasteful number, since it uses less digits than its factorization.

11623980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11623980 is about 3409.3958409079. The cubic root of 11623980 is about 226.5261191366.

The spelling of 11623980 in words is "eleven million, six hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1283 1510 1812 2265 2566 3020 3849 4530 5132 6415 7698 9060 12830 15396 19245 25660 38490 76980 193733 387466 581199 774932 968665 1162398 1937330 2324796 2905995 3874660 5811990 11623980