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20073732 = 223734877
BaseRepresentation
bin100110010010…
…0110100000100
31101202211222120
41030210310010
520114324412
61554125540
7332424000
oct114446404
941684876
1020073732
1110370768
1268808b0
13420ab63
142947700
151b67b8c
hex1324d04

20073732 has 48 divisors (see below), whose sum is σ = 54633600. Its totient is φ = 5734176.

The previous prime is 20073731. The next prime is 20073743. The reversal of 20073732 is 23737002.

It is not an unprimeable number, because it can be changed into a prime (20073731) 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, 1678 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (1138200).

Almost surely, 220073732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20073732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27316800).

20073732 is an abundant number, since it is smaller than the sum of its proper divisors (34559868).

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

20073732 is a wasteful number, since it uses less digits than its factorization.

20073732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 20073732 is about 4480.3718595670. The cubic root of 20073732 is about 271.7749183220.

The spelling of 20073732 in words is "twenty million, seventy-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 4877 9754 14631 19508 29262 34139 58524 68278 102417 136556 204834 238973 409668 477946 716919 955892 1433838 1672811 2867676 3345622 5018433 6691244 10036866 20073732