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11988540 = 223351492
BaseRepresentation
bin101101101110…
…111000111100
3211120002012000
4231232320330
511032113130
61104542300
7203621004
oct55567074
924502160
1011988540
116849193
124021990
132639a15
141841004
1510bc260
hexb6ee3c

11988540 has 72 divisors (see below), whose sum is σ = 37549680. Its totient is φ = 3175488.

The previous prime is 11988539. The next prime is 11988541. The reversal of 11988540 is 4588911.

It is an interprime number because it is at equal distance from previous prime (11988539) and next prime (11988541).

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

It is a junction number, because it is equal to n+sod(n) for n = 11988495 and 11988504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11988541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80386 + ... + 80534.

Almost surely, 211988540 is an apocalyptic number.

11988540 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 11988540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774840).

11988540 is an abundant number, since it is smaller than the sum of its proper divisors (25561140).

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

11988540 is a wasteful number, since it uses less digits than its factorization.

11988540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11988540 is about 3462.4471115094. The cubic root of 11988540 is about 228.8699451581.

The spelling of 11988540 in words is "eleven million, nine hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 149 180 270 298 447 540 596 745 894 1341 1490 1788 2235 2682 2980 4023 4470 5364 6705 8046 8940 13410 16092 20115 22201 26820 40230 44402 66603 80460 88804 111005 133206 199809 222010 266412 333015 399618 444020 599427 666030 799236 999045 1198854 1332060 1998090 2397708 2997135 3996180 5994270 11988540