Search a number
-
+
16814088 = 23331719241
BaseRepresentation
bin100000000100…
…1000000001000
31011122020121000
41000021000020
513301022323
61400215000
7262626444
oct100110010
934566530
1016814088
119544745
12576a460
133639285
142339824
151721e43
hex1009008

16814088 has 128 divisors (see below), whose sum is σ = 52272000. Its totient is φ = 4976640.

The previous prime is 16814033. The next prime is 16814089. The reversal of 16814088 is 88041861.

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

It is not an unprimeable number, because it can be changed into a prime (16814089) 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, 69648 + ... + 69888.

It is an arithmetic number, because the mean of its divisors is an integer number (408375).

Almost surely, 216814088 is an apocalyptic number.

16814088 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 16814088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136000).

16814088 is an abundant number, since it is smaller than the sum of its proper divisors (35457912).

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

16814088 is a wasteful number, since it uses less digits than its factorization.

16814088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 16814088 is about 4100.4985062794. The cubic root of 16814088 is about 256.1874034689.

The spelling of 16814088 in words is "sixteen million, eight hundred fourteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 241 306 323 342 408 456 459 482 513 612 646 684 723 918 964 969 1026 1224 1292 1368 1446 1836 1928 1938 2052 2169 2584 2892 2907 3672 3876 4097 4104 4338 4579 5784 5814 6507 7752 8194 8676 8721 9158 11628 12291 13014 13737 16388 17352 17442 18316 23256 24582 26028 27474 32776 34884 36632 36873 41211 49164 52056 54948 69768 73746 77843 82422 98328 109896 110619 123633 147492 155686 164844 221238 233529 247266 294984 311372 329688 442476 467058 494532 622744 700587 884952 934116 989064 1401174 1868232 2101761 2802348 4203522 5604696 8407044 16814088