Search a number
-
+
612120160 = 25523414057
BaseRepresentation
bin100100011111000…
…011011001100000
31120122210221000001
4210133003121200
52223200321120
6140423505344
721111635611
oct4437033140
91518727001
10612120160
11294586a33
12150bb8254
1399a804a2
145b41dc08
1538b13e0a
hex247c3660

612120160 has 96 divisors (see below), whose sum is σ = 1546195392. Its totient is φ = 228433920.

The previous prime is 612120133. The next prime is 612120167. The reversal of 612120160 is 61021216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612120167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148852 + ... + 152908.

It is an arithmetic number, because the mean of its divisors is an integer number (16106202).

Almost surely, 2612120160 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 612120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773097696).

612120160 is an abundant number, since it is smaller than the sum of its proper divisors (934075232).

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

612120160 is a wasteful number, since it uses less digits than its factorization.

612120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 612120160 is about 24741.0622245691. The cubic root of 612120160 is about 849.0740366335.

Adding to 612120160 its reverse (61021216), we get a palindrome (673141376).

The spelling of 612120160 in words is "six hundred twelve million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 328 368 410 460 656 736 820 920 943 1312 1640 1840 1886 3280 3680 3772 4057 4715 6560 7544 8114 9430 15088 16228 18860 20285 30176 32456 37720 40570 64912 75440 81140 93311 129824 150880 162280 166337 186622 324560 332674 373244 466555 649120 665348 746488 831685 933110 1330696 1492976 1663370 1866220 2661392 2985952 3326740 3732440 3825751 5322784 6653480 7464880 7651502 13306960 14929760 15303004 19128755 26613920 30606008 38257510 61212016 76515020 122424032 153030040 306060080 612120160