Search a number
-
+
20895600 = 24352111583
BaseRepresentation
bin100111110110…
…1011101110000
31110022121101010
41033231131300
520322124400
62023510520
7342416055
oct117553560
943277333
1020895600
11108821a0
126bb8440
134437c7b
142abd02c
151c7b450
hex13ed770

20895600 has 120 divisors (see below), whose sum is σ = 73066752. Its totient is φ = 5062400.

The previous prime is 20895599. The next prime is 20895629. The reversal of 20895600 is 659802.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12409 + ... + 13991.

Almost surely, 220895600 is an apocalyptic number.

20895600 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 20895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533376).

20895600 is an abundant number, since it is smaller than the sum of its proper divisors (52171152).

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

20895600 is a wasteful number, since it uses less digits than its factorization.

20895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20895600 is about 4571.1705284314. The cubic root of 20895600 is about 275.4344647550.

The spelling of 20895600 in words is "twenty million, eight hundred ninety-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1583 1650 2200 2640 3166 3300 4400 4749 6332 6600 7915 9498 12664 13200 15830 17413 18996 23745 25328 31660 34826 37992 39575 47490 52239 63320 69652 75984 79150 87065 94980 104478 118725 126640 139304 158300 174130 189960 208956 237450 261195 278608 316600 348260 379920 417912 435325 474900 522390 633200 696520 835824 870650 949800 1044780 1305975 1393040 1741300 1899600 2089560 2611950 3482600 4179120 5223900 6965200 10447800 20895600