Search a number
-
+
20155824 = 2433133797
BaseRepresentation
bin100110011100…
…0110110110000
31101221000121000
41030320312300
520124441244
62000002000
7333215223
oct114706660
941830530
1020155824
1110417407
126900300
134239330
1429695ba
151b82169
hex1338db0

20155824 has 160 divisors (see below), whose sum is σ = 64648640. Its totient is φ = 5971968.

The previous prime is 20155813. The next prime is 20155831. The reversal of 20155824 is 42855102.

It is a happy number.

It is a super-2 number, since 2×201558242 = 812514482237952, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207744 + ... + 207840.

It is an arithmetic number, because the mean of its divisors is an integer number (404054).

Almost surely, 220155824 is an apocalyptic number.

20155824 is a gapful number since it is divisible by the number (24) 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 20155824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32324320).

20155824 is an abundant number, since it is smaller than the sum of its proper divisors (44492816).

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

20155824 is a wasteful number, since it uses less digits than its factorization.

20155824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 20155824 is about 4489.5238054832. The cubic root of 20155824 is about 272.1448910860.

The spelling of 20155824 in words is "twenty million, one hundred fifty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 97 104 108 111 117 144 148 156 194 208 216 222 234 291 296 312 333 351 388 432 444 468 481 582 592 624 666 702 776 873 888 936 962 999 1164 1261 1332 1404 1443 1552 1746 1776 1872 1924 1998 2328 2522 2619 2664 2808 2886 3492 3589 3783 3848 3996 4329 4656 5044 5238 5328 5616 5772 6984 7178 7566 7696 7992 8658 10088 10476 10767 11349 11544 12987 13968 14356 15132 15984 17316 20176 20952 21534 22698 23088 25974 28712 30264 32301 34047 34632 41904 43068 45396 46657 51948 57424 60528 64602 68094 69264 86136 90792 93314 96903 103896 129204 136188 139971 172272 181584 186628 193806 207792 258408 272376 279942 373256 387612 419913 516816 544752 559884 746512 775224 839826 1119768 1259739 1550448 1679652 2239536 2519478 3359304 5038956 6718608 10077912 20155824