Search a number
-
+
21741168 = 2431931769
BaseRepresentation
bin101001011101…
…1111001110000
31111220120021110
41102323321300
521031204133
62053553320
7352540221
oct122737160
944816243
1021741168
11112aa509
127345840
134672ac7
142c5d248
151d96c63
hex14bbe70

21741168 has 80 divisors (see below), whose sum is σ = 61107200. Its totient is φ = 6635520.

The previous prime is 21741151. The next prime is 21741173. The reversal of 21741168 is 86114712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27888 + ... + 28656.

It is an arithmetic number, because the mean of its divisors is an integer number (763840).

Almost surely, 221741168 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 21741168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30553600).

21741168 is an abundant number, since it is smaller than the sum of its proper divisors (39366032).

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

21741168 is a wasteful number, since it uses less digits than its factorization.

21741168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 21741168 is about 4662.7425406085. The cubic root of 21741168 is about 279.1007203058.

The spelling of 21741168 in words is "twenty-one million, seven hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 769 912 1178 1488 1538 1767 2307 2356 3076 3534 4614 4712 6152 7068 9228 9424 12304 14136 14611 18456 23839 28272 29222 36912 43833 47678 58444 71517 87666 95356 116888 143034 175332 190712 233776 286068 350664 381424 452941 572136 701328 905882 1144272 1358823 1811764 2717646 3623528 5435292 7247056 10870584 21741168