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18972540 = 22325109967
BaseRepresentation
bin100100001011…
…1111101111100
31022200220102200
41020113331330
514324110130
61514351500
7320156346
oct110277574
938626380
1018972540
11a789394
12642b590
133c13872
14273c296
1519eb760
hex1217f7c

18972540 has 72 divisors (see below), whose sum is σ = 58138080. Its totient is φ = 5007744.

The previous prime is 18972529. The next prime is 18972563. The reversal of 18972540 is 4527981.

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 = 18972495 and 18972504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19137 + ... + 20103.

Almost surely, 218972540 is an apocalyptic number.

18972540 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 18972540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069040).

18972540 is an abundant number, since it is smaller than the sum of its proper divisors (39165540).

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

18972540 is a wasteful number, since it uses less digits than its factorization.

18972540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18972540 is about 4355.7479265908. The cubic root of 18972540 is about 266.7115514724.

The spelling of 18972540 in words is "eighteen million, nine hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 967 981 1090 1308 1635 1934 1962 2180 2901 3270 3868 3924 4835 4905 5802 6540 8703 9670 9810 11604 14505 17406 19340 19620 29010 34812 43515 58020 87030 105403 174060 210806 316209 421612 527015 632418 948627 1054030 1264836 1581045 1897254 2108060 3162090 3794508 4743135 6324180 9486270 18972540