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30769860 = 223511232027
BaseRepresentation
bin111010101100…
…0001011000100
32010220021022110
41311120023010
530334113420
63015301020
7522353022
oct165301304
963807273
1030769860
1116406940
12a37a770
1364b4524
14412d712
152a7bee0
hex1d582c4

30769860 has 96 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 7131520.

The previous prime is 30769853. The next prime is 30769861. The reversal of 30769860 is 6896703.

It is not an unprimeable number, because it can be changed into a prime (30769861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14167 + ... + 16193.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 230769860 is an apocalyptic number.

30769860 is a gapful number since it is divisible by the number (30) 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 30769860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376).

30769860 is an abundant number, since it is smaller than the sum of its proper divisors (67352892).

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

30769860 is a wasteful number, since it uses less digits than its factorization.

30769860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 30769860 is about 5547.0586800574. The cubic root of 30769860 is about 313.3587600713.

The spelling of 30769860 in words is "thirty million, seven hundred sixty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2027 2530 3036 3795 4054 5060 6081 7590 8108 10135 12162 15180 20270 22297 24324 30405 40540 44594 46621 60810 66891 89188 93242 111485 121620 133782 139863 186484 222970 233105 267564 279726 334455 445940 466210 512831 559452 668910 699315 932420 1025662 1337820 1398630 1538493 2051324 2564155 2797260 3076986 5128310 6153972 7692465 10256620 15384930 30769860