Search a number
-
+
16134960 = 2435233779
BaseRepresentation
bin111101100011…
…001100110000
31010100202000010
4331203030300
513112304320
61333454520
7254100462
oct75431460
933322003
1016134960
119120486
1254a1440
13345c11a
142200132
15163aae0
hexf63330

16134960 has 160 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 3953664.

The previous prime is 16134953. The next prime is 16134961. The reversal of 16134960 is 6943161.

16134960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16134961) 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, 204201 + ... + 204279.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 216134960 is an apocalyptic number.

16134960 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 16134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

16134960 is an abundant number, since it is smaller than the sum of its proper divisors (38147280).

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

16134960 is a wasteful number, since it uses less digits than its factorization.

16134960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 16134960 is about 4016.8345746371. The cubic root of 16134960 is about 252.6907228120.

The spelling of 16134960 in words is "sixteen million, one hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 74 79 80 92 111 115 120 138 148 158 184 185 222 230 237 240 276 296 316 345 368 370 395 444 460 474 552 555 592 632 690 740 790 851 888 920 948 1104 1110 1185 1264 1380 1480 1580 1702 1776 1817 1840 1896 2220 2370 2553 2760 2923 2960 3160 3404 3634 3792 4255 4440 4740 5106 5451 5520 5846 6320 6808 7268 8510 8769 8880 9085 9480 10212 10902 11692 12765 13616 14536 14615 17020 17538 18170 18960 20424 21804 23384 25530 27255 29072 29230 34040 35076 36340 40848 43608 43845 46768 51060 54510 58460 67229 68080 70152 72680 87216 87690 102120 109020 116920 134458 140304 145360 175380 201687 204240 218040 233840 268916 336145 350760 403374 436080 537832 672290 701520 806748 1008435 1075664 1344580 1613496 2016870 2689160 3226992 4033740 5378320 8067480 16134960