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30229680 = 2435139689
BaseRepresentation
bin111001101010…
…0010010110000
32002212211022210
41303110102300
530214322210
62555532120
7514643115
oct163242260
962784283
1030229680
1116078008
12a15a040
1363556b0
14402c90c
1529c1e20
hex1cd44b0

30229680 has 80 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 7440384.

The previous prime is 30229673. The next prime is 30229721. The reversal of 30229680 is 8692203.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1725 + ... + 7964.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 230229680 is an apocalyptic number.

30229680 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 30229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

30229680 is an abundant number, since it is smaller than the sum of its proper divisors (70701360).

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

30229680 is a wasteful number, since it uses less digits than its factorization.

30229680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 9712 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30229680 is about 5498.1524169488. The cubic root of 30229680 is about 311.5142012459.

The spelling of 30229680 in words is "thirty million, two hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 9689 19378 29067 38756 48445 58134 77512 96890 116268 125957 145335 155024 193780 232536 251914 290670 377871 387560 465072 503828 581340 629785 755742 775120 1007656 1162680 1259570 1511484 1889355 2015312 2325360 2519140 3022968 3778710 5038280 6045936 7557420 10076560 15114840 30229680