Search a number
-
+
16068800 = 265211283
BaseRepresentation
bin111101010011…
…000011000000
31010020101020202
4331103003000
513103200200
61332224332
7253403546
oct75230300
933211222
1016068800
119085800
12546b0a8
133437c87
1421c3d96
1516261d5
hexf530c0

16068800 has 126 divisors (see below), whose sum is σ = 43984164. Its totient is φ = 5772800.

The previous prime is 16068781. The next prime is 16068809. The reversal of 16068800 is 886061.

It is not an unprimeable number, because it can be changed into a prime (16068809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193559 + ... + 193641.

Almost surely, 216068800 is an apocalyptic number.

16068800 is a gapful number since it is divisible by the number (10) 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 16068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992082).

16068800 is an abundant number, since it is smaller than the sum of its proper divisors (27915364).

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

16068800 is a wasteful number, since it uses less digits than its factorization.

16068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 16068800 is about 4008.5907748235. The cubic root of 16068800 is about 252.3448708922.

The spelling of 16068800 in words is "sixteen million, sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 83 88 100 110 121 160 166 176 200 220 242 275 320 332 352 400 415 440 484 550 605 664 704 800 830 880 913 968 1100 1210 1328 1600 1660 1760 1826 1936 2075 2200 2420 2656 3025 3320 3520 3652 3872 4150 4400 4565 4840 5312 6050 6640 7304 7744 8300 8800 9130 9680 10043 12100 13280 14608 16600 17600 18260 19360 20086 22825 24200 26560 29216 33200 36520 38720 40172 45650 48400 50215 58432 66400 73040 80344 91300 96800 100430 132800 146080 160688 182600 193600 200860 251075 292160 321376 365200 401720 502150 642752 730400 803440 1004300 1460800 1606880 2008600 3213760 4017200 8034400 16068800