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30699072 = 2632223239
BaseRepresentation
bin111010100011…
…0111001000000
32010202200012200
41311012321000
530324332242
63013553200
7521636445
oct165067100
963680180
1030699072
1116368738
12a345800
13648b241
1441119cc
152a6604c
hex1d46e40

30699072 has 84 divisors (see below), whose sum is σ = 88757760. Its totient is φ = 10144512.

The previous prime is 30699061. The next prime is 30699073. The reversal of 30699072 is 27099603.

It is a super-2 number, since 2×306990722 = 1884866043322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30699073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 128329 + ... + 128567.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 230699072 is an apocalyptic number.

30699072 is a gapful number since it is divisible by the number (32) 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 30699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44378880).

30699072 is an abundant number, since it is smaller than the sum of its proper divisors (58058688).

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

30699072 is a wasteful number, since it uses less digits than its factorization.

30699072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 30699072 is about 5540.6743271916. The cubic root of 30699072 is about 313.1182750417.

The spelling of 30699072 in words is "thirty million, six hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 239 288 446 478 576 669 717 892 956 1338 1434 1784 1912 2007 2151 2676 2868 3568 3824 4014 4302 5352 5736 7136 7648 8028 8604 10704 11472 14272 15296 16056 17208 21408 22944 32112 34416 42816 45888 53297 64224 68832 106594 128448 137664 159891 213188 319782 426376 479673 639564 852752 959346 1279128 1705504 1918692 2558256 3411008 3837384 5116512 7674768 10233024 15349536 30699072