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21113040 = 24351367101
BaseRepresentation
bin101000010001…
…0100011010000
31110201122122110
41100202203100
520401104130
62032305320
7344313024
oct120424320
943648573
1021113040
1110a105a3
1270a2240
1344b2c30
142b38384
151cc0ab0
hex14228d0

21113040 has 160 divisors (see below), whose sum is σ = 72245376. Its totient is φ = 5068800.

The previous prime is 21113023. The next prime is 21113041. The reversal of 21113040 is 4031112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208990 + ... + 209090.

Almost surely, 221113040 is an apocalyptic number.

21113040 is a gapful number since it is divisible by the number (20) 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 21113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36122688).

21113040 is an abundant number, since it is smaller than the sum of its proper divisors (51132336).

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

21113040 is a wasteful number, since it uses less digits than its factorization.

21113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 21113040 is about 4594.8928170307. The cubic root of 21113040 is about 276.3865618835.

Adding to 21113040 its reverse (4031112), we get a palindrome (25144152).

It can be divided in two parts, 2111 and 3040, that added together give a triangular number (5151 = T101).

The spelling of 21113040 in words is "twenty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 67 78 80 101 104 120 130 134 156 195 201 202 208 240 260 268 303 312 335 390 402 404 505 520 536 606 624 670 780 804 808 871 1005 1010 1040 1072 1212 1313 1340 1515 1560 1608 1616 1742 2010 2020 2424 2613 2626 2680 3030 3120 3216 3484 3939 4020 4040 4355 4848 5226 5252 5360 6060 6565 6767 6968 7878 8040 8080 8710 10452 10504 12120 13065 13130 13534 13936 15756 16080 17420 19695 20301 20904 21008 24240 26130 26260 27068 31512 33835 34840 39390 40602 41808 52260 52520 54136 63024 67670 69680 78780 81204 87971 101505 104520 105040 108272 135340 157560 162408 175942 203010 209040 263913 270680 315120 324816 351884 406020 439855 527826 541360 703768 812040 879710 1055652 1319565 1407536 1624080 1759420 2111304 2639130 3518840 4222608 5278260 7037680 10556520 21113040