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20237472 = 253359397
BaseRepresentation
bin100110100110…
…0110010100000
31102002011121000
41031030302200
520140044342
62001432000
7334005243
oct115146240
942064530
1020237472
1110472792
12693b600
134267548
14298b25a
151b9b44c
hex134cca0

20237472 has 96 divisors (see below), whose sum is σ = 60177600. Its totient is φ = 6614784.

The previous prime is 20237453. The next prime is 20237479. The reversal of 20237472 is 27473202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20237479) 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, 50778 + ... + 51174.

It is an arithmetic number, because the mean of its divisors is an integer number (626850).

Almost surely, 220237472 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 20237472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30088800).

20237472 is an abundant number, since it is smaller than the sum of its proper divisors (39940128).

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

20237472 is a wasteful number, since it uses less digits than its factorization.

20237472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20237472 is about 4498.6077846374. The cubic root of 20237472 is about 272.5118677322.

The spelling of 20237472 in words is "twenty million, two hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 397 432 472 531 708 794 864 944 1062 1191 1416 1588 1593 1888 2124 2382 2832 3176 3186 3573 4248 4764 5664 6352 6372 7146 8496 9528 10719 12704 12744 14292 16992 19056 21438 23423 25488 28584 38112 42876 46846 50976 57168 70269 85752 93692 114336 140538 171504 187384 210807 281076 343008 374768 421614 562152 632421 749536 843228 1124304 1264842 1686456 2248608 2529684 3372912 5059368 6745824 10118736 20237472