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18990432 = 2532233283
BaseRepresentation
bin100100001110…
…0010101100000
31022201210222100
41020130111200
514330143212
61515010400
7320262456
oct110342540
938653870
1018990432
11a7a087a
126439a00
133c1ba56
1427449d6
151a01bdc
hex121c560

18990432 has 72 divisors (see below), whose sum is σ = 54427464. Its totient is φ = 6280704.

The previous prime is 18990427. The next prime is 18990451. The reversal of 18990432 is 23409981.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66963 + ... + 67245.

It is an arithmetic number, because the mean of its divisors is an integer number (755937).

Almost surely, 218990432 is an apocalyptic number.

18990432 is a gapful number since it is divisible by the number (12) 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 18990432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27213732).

18990432 is an abundant number, since it is smaller than the sum of its proper divisors (35437032).

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

18990432 is a wasteful number, since it uses less digits than its factorization.

18990432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 18990432 is about 4357.8012804624. The cubic root of 18990432 is about 266.7953656549.

The spelling of 18990432 in words is "eighteen million, nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 283 288 466 566 699 849 932 1132 1398 1698 1864 2097 2264 2547 2796 3396 3728 4194 4528 5094 5592 6792 7456 8388 9056 10188 11184 13584 16776 20376 22368 27168 33552 40752 65939 67104 81504 131878 197817 263756 395634 527512 593451 791268 1055024 1186902 1582536 2110048 2373804 3165072 4747608 6330144 9495216 18990432