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20234160 = 24325157179
BaseRepresentation
bin100110100101…
…1111110110000
31102002000001100
41031023332300
520134443120
62001404400
7333662502
oct115137660
942060040
1020234160
1110470251
126939700
134265b9b
142989d72
151b9a490
hex134bfb0

20234160 has 120 divisors (see below), whose sum is σ = 68767920. Its totient is φ = 5331456.

The previous prime is 20234147. The next prime is 20234167. The reversal of 20234160 is 6143202.

It is a happy number.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (20234167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112951 + ... + 113129.

It is an arithmetic number, because the mean of its divisors is an integer number (573066).

Almost surely, 220234160 is an apocalyptic number.

20234160 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 20234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34383960).

20234160 is an abundant number, since it is smaller than the sum of its proper divisors (48533760).

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

20234160 is a wasteful number, since it uses less digits than its factorization.

20234160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20234160 is about 4498.2396556875. The cubic root of 20234160 is about 272.4970007806.

Adding to 20234160 its reverse (6143202), we get a palindrome (26377362).

The spelling of 20234160 in words is "twenty million, two hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 179 180 240 314 358 360 471 537 628 716 720 785 895 942 1074 1256 1413 1432 1570 1611 1790 1884 2148 2355 2512 2685 2826 2864 3140 3222 3580 3768 4296 4710 5370 5652 6280 6444 7065 7160 7536 8055 8592 9420 10740 11304 12560 12888 14130 14320 16110 18840 21480 22608 25776 28103 28260 32220 37680 42960 56206 56520 64440 84309 112412 113040 128880 140515 168618 224824 252927 281030 337236 421545 449648 505854 562060 674472 843090 1011708 1124120 1264635 1348944 1686180 2023416 2248240 2529270 3372360 4046832 5058540 6744720 10117080 20234160