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20540832 = 25313109151
BaseRepresentation
bin100111001011…
…0110110100000
31102122120201120
41032112312200
520224301312
62012132240
7336410544
oct116266640
942576646
1020540832
111065a6a4
126a67080
134342650
142a29a24
151c0b28c
hex1396da0

20540832 has 96 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 6220800.

The previous prime is 20540831. The next prime is 20540837. The reversal of 20540832 is 23804502.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (20540831) 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, 135957 + ... + 136107.

It is an arithmetic number, because the mean of its divisors is an integer number (614460).

Almost surely, 220540832 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 20540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

20540832 is an abundant number, since it is smaller than the sum of its proper divisors (38447328).

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

20540832 is a wasteful number, since it uses less digits than its factorization.

20540832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20540832 is about 4532.1994660429. The cubic root of 20540832 is about 273.8667723915.

The spelling of 20540832 in words is "twenty million, five hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 151 156 208 218 302 312 327 416 436 453 604 624 654 872 906 1208 1248 1308 1417 1744 1812 1963 2416 2616 2834 3488 3624 3926 4251 4832 5232 5668 5889 7248 7852 8502 10464 11336 11778 14496 15704 16459 17004 22672 23556 31408 32918 34008 45344 47112 49377 62816 65836 68016 94224 98754 131672 136032 188448 197508 213967 263344 395016 427934 526688 641901 790032 855868 1283802 1580064 1711736 2567604 3423472 5135208 6846944 10270416 20540832