Search a number
-
+
4167020 = 22511133147
BaseRepresentation
bin1111111001010101101100
321211201002002
433321111230
52031321040
6225151432
750263514
oct17712554
97751062
104167020
112396820
12148b578
13b2b8c0
147a6844
15574a15
hex3f956c

4167020 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1324800.

The previous prime is 4167017. The next prime is 4167043. The reversal of 4167020 is 207614.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4166983 and 4167001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88637 + ... + 88683.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 24167020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4167020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

4167020 is an abundant number, since it is smaller than the sum of its proper divisors (6670996).

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

4167020 is a wasteful number, since it uses less digits than its factorization.

4167020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4167020 is about 2041.3279991221. The cubic root of 4167020 is about 160.9194458335.

The spelling of 4167020 in words is "four million, one hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 47 52 55 62 65 94 110 124 130 143 155 188 220 235 260 286 310 341 403 470 517 572 611 620 682 715 806 940 1034 1222 1364 1430 1457 1612 1705 2015 2068 2444 2585 2860 2914 3055 3410 4030 4433 5170 5828 6110 6721 6820 7285 8060 8866 10340 12220 13442 14570 16027 17732 18941 22165 26884 29140 32054 33605 37882 44330 64108 67210 75764 80135 88660 94705 134420 160270 189410 208351 320540 378820 416702 833404 1041755 2083510 4167020