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20939072 = 267211607
BaseRepresentation
bin100111111100…
…0000101000000
31110101211000012
41033320011000
520330022242
62024444052
7342656600
oct117700500
943354005
1020939072
1110901920
127019628
1344519ab
142ad0c00
151c89282
hex13f8140

20939072 has 84 divisors (see below), whose sum is σ = 52815744. Its totient is φ = 8144640.

The previous prime is 20939071. The next prime is 20939123. The reversal of 20939072 is 27093902.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34193 + ... + 34799.

Almost surely, 220939072 is an apocalyptic number.

20939072 is a gapful number since it is divisible by the number (22) 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 20939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26407872).

20939072 is an abundant number, since it is smaller than the sum of its proper divisors (31876672).

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

20939072 is a wasteful number, since it uses less digits than its factorization.

20939072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 20939072 is about 4575.9230762765. The cubic root of 20939072 is about 275.6253405556.

It can be divided in two parts, 2093907 and 2, that multiplied together give a palindrome (4187814).

The spelling of 20939072 in words is "twenty million, nine hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 607 616 704 784 1078 1214 1232 1568 2156 2428 2464 3136 4249 4312 4856 4928 6677 8498 8624 9712 13354 16996 17248 19424 26708 29743 33992 34496 38848 46739 53416 59486 67984 93478 106832 118972 135968 186956 213664 237944 271936 327173 373912 427328 475888 654346 747824 951776 1308692 1495648 1903552 2617384 2991296 5234768 10469536 20939072