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30370920 = 2335733467
BaseRepresentation
bin111001111011…
…0110001101000
32010011000001220
41303312301220
530233332140
63002542040
7516101646
oct163666150
963130056
1030370920
1116164138
12a207920
1363a4a78
144068196
1529edbd0
hex1cf6c68

30370920 has 64 divisors (see below), whose sum is σ = 92387520. Its totient is φ = 7985664.

The previous prime is 30370903. The next prime is 30370927. The reversal of 30370920 is 2907303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30370927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7027 + ... + 10493.

It is an arithmetic number, because the mean of its divisors is an integer number (1443555).

Almost surely, 230370920 is an apocalyptic number.

30370920 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 30370920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193760).

30370920 is an abundant number, since it is smaller than the sum of its proper divisors (62016600).

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

30370920 is a wasteful number, since it uses less digits than its factorization.

30370920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 30370920 is about 5510.9817637151. The cubic root of 30370920 is about 311.9986028866.

The spelling of 30370920 in words is "thirty million, three hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 3467 4380 6934 8760 10401 13868 17335 20802 27736 34670 41604 52005 69340 83208 104010 138680 208020 253091 416040 506182 759273 1012364 1265455 1518546 2024728 2530910 3037092 3796365 5061820 6074184 7592730 10123640 15185460 30370920