Search a number
-
+
18390528 = 293213307
BaseRepresentation
bin100011000100…
…1111000000000
31021121100001200
41012021320000
514201444103
61454101200
7312213462
oct106117000
937540050
1018390528
11a421092
1261aa800
133a6b990
14262a132
1519340a3
hex1189e00

18390528 has 120 divisors (see below), whose sum is σ = 57345288. Its totient is φ = 5640192.

The previous prime is 18390527. The next prime is 18390529. The reversal of 18390528 is 82509381.

It is an interprime number because it is at equal distance from previous prime (18390527) and next prime (18390529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18390492 and 18390501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18390527) 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, 59751 + ... + 60057.

Almost surely, 218390528 is an apocalyptic number.

18390528 is a gapful number since it is divisible by the number (18) 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 18390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28672644).

18390528 is an abundant number, since it is smaller than the sum of its proper divisors (38954760).

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

18390528 is a wasteful number, since it uses less digits than its factorization.

18390528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 18390528 is about 4288.4178900849. The cubic root of 18390528 is about 263.9559155039.

The spelling of 18390528 in words is "eighteen million, three hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 307 312 384 416 468 512 576 614 624 768 832 921 936 1152 1228 1248 1536 1664 1842 1872 2304 2456 2496 2763 3328 3684 3744 3991 4608 4912 4992 5526 6656 7368 7488 7982 9824 9984 11052 11973 14736 14976 15964 19648 19968 22104 23946 29472 29952 31928 35919 39296 44208 47892 58944 59904 63856 71838 78592 88416 95784 117888 127712 143676 157184 176832 191568 235776 255424 287352 353664 383136 471552 510848 574704 707328 766272 1021696 1149408 1414656 1532544 2043392 2298816 3065088 4597632 6130176 9195264 18390528