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30664160 = 255434457
BaseRepresentation
bin111010011111…
…0010111100000
32010200220022122
41310332113200
530322223120
63013123412
7521432612
oct164762740
963626278
1030664160
111634448a
12a329568
136478397
144102db2
152a5aa25
hex1d3e5e0

30664160 has 48 divisors (see below), whose sum is σ = 74145456. Its totient is φ = 11977728.

The previous prime is 30664159. The next prime is 30664169. The reversal of 30664160 is 6146603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4652 + ... + 9108.

It is an arithmetic number, because the mean of its divisors is an integer number (1544697).

Almost surely, 230664160 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 30664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37072728).

30664160 is an abundant number, since it is smaller than the sum of its proper divisors (43481296).

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

30664160 is a wasteful number, since it uses less digits than its factorization.

30664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 30664160 is about 5537.5229119165. The cubic root of 30664160 is about 312.9995338655. Note that the first 3 decimals are identical.

The spelling of 30664160 in words is "thirty million, six hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 4457 6880 8914 17828 22285 35656 44570 71312 89140 142624 178280 191651 356560 383302 713120 766604 958255 1533208 1916510 3066416 3833020 6132832 7666040 15332080 30664160