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30215920 = 245779683
BaseRepresentation
bin111001101000…
…0111011110000
32002212010110011
41303100323300
530213402140
62555344304
7514555030
oct163207360
962763404
1030215920
1116068739
12a152094
13634c357
1440278c0
1529bccea
hex1cd0ef0

30215920 has 80 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 10213632.

The previous prime is 30215891. The next prime is 30215921. The reversal of 30215920 is 2951203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30215891 and 30215900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30215921) 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, 43899 + ... + 44581.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 230215920 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 30215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

30215920 is an abundant number, since it is smaller than the sum of its proper divisors (51207440).

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

30215920 is a wasteful number, since it uses less digits than its factorization.

30215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 30215920 is about 5496.9009450781. The cubic root of 30215920 is about 311.4669288749.

The spelling of 30215920 in words is "thirty million, two hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 683 790 1106 1264 1366 1580 2212 2732 2765 3160 3415 4424 4781 5464 5530 6320 6830 8848 9562 10928 11060 13660 19124 22120 23905 27320 38248 44240 47810 53957 54640 76496 95620 107914 191240 215828 269785 377699 382480 431656 539570 755398 863312 1079140 1510796 1888495 2158280 3021592 3776990 4316560 6043184 7553980 15107960 30215920