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30219680 = 255672819
BaseRepresentation
bin111001101000…
…1110110100000
32002212022121102
41303101312200
530214012210
62555413532
7514602011
oct163216640
962768542
1030219680
1116070547
12a1542a8
136350c8a
144029008
1529bdea5
hex1cd1da0

30219680 has 48 divisors (see below), whose sum is σ = 72485280. Its totient is φ = 11903232.

The previous prime is 30219667. The next prime is 30219691. The reversal of 30219680 is 8691203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9311 + ... + 12129.

It is an arithmetic number, because the mean of its divisors is an integer number (1510110).

Almost surely, 230219680 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 30219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242640).

30219680 is an abundant number, since it is smaller than the sum of its proper divisors (42265600).

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

30219680 is a wasteful number, since it uses less digits than its factorization.

30219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 30219680 is about 5497.2429453318. The cubic root of 30219680 is about 311.4798477499.

The spelling of 30219680 in words is "thirty million, two hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 2819 5360 5638 10720 11276 14095 22552 28190 45104 56380 90208 112760 188873 225520 377746 451040 755492 944365 1510984 1888730 3021968 3777460 6043936 7554920 15109840 30219680