Search a number
-
+
20953170 = 2325779421
BaseRepresentation
bin100111111101…
…1100001010010
31110102112100100
41033323201102
520331000140
62025033230
7343045650
oct117734122
943375310
1020953170
1110911477
127025816
134458234
142ad5dd0
151c8d530
hex13fb852

20953170 has 96 divisors (see below), whose sum is σ = 63198720. Its totient is φ = 4717440.

The previous prime is 20953151. The next prime is 20953183. The reversal of 20953170 is 7135902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49560 + ... + 49980.

It is an arithmetic number, because the mean of its divisors is an integer number (658320).

Almost surely, 220953170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20953170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31599360).

20953170 is an abundant number, since it is smaller than the sum of its proper divisors (42245550).

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

20953170 is a wasteful number, since it uses less digits than its factorization.

20953170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 20953170 is about 4577.4632712890. The cubic root of 20953170 is about 275.6871849757.

The spelling of 20953170 in words is "twenty million, nine hundred fifty-three thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 421 474 553 630 711 790 842 1106 1185 1263 1422 1659 2105 2370 2526 2765 2947 3318 3555 3789 4210 4977 5530 5894 6315 7110 7578 8295 8841 9954 12630 14735 16590 17682 18945 24885 26523 29470 33259 37890 44205 49770 53046 66518 88410 99777 132615 166295 199554 232813 265230 299331 332590 465626 498885 598662 698439 997770 1164065 1396878 1496655 2095317 2328130 2993310 3492195 4190634 6984390 10476585 20953170