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33689070 = 23251797227
BaseRepresentation
bin1000000010000…
…0110111101110
32100101120201100
42000200313232
532111022240
63202023530
7556231602
oct200406756
970346640
1033689070
1118020108
12b347ba6
136c9717c
14468d502
152e56e30
hex2020dee

33689070 has 96 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 8331264.

The previous prime is 33689069. The next prime is 33689111. The reversal of 33689070 is 7098633.

It is a super-2 number, since 2×336890702 = 2269906874929800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 148297 + ... + 148523.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 233689070 is an apocalyptic number.

33689070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33689070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

33689070 is an abundant number, since it is smaller than the sum of its proper divisors (60423858).

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

33689070 is a wasteful number, since it uses less digits than its factorization.

33689070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 33689070 is about 5804.2286309207. The cubic root of 33689070 is about 322.9706127193.

The spelling of 33689070 in words is "thirty-three million, six hundred eighty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 153 170 194 227 255 291 306 454 485 510 582 681 765 873 970 1135 1362 1455 1530 1649 1746 2043 2270 2910 3298 3405 3859 4086 4365 4947 6810 7718 8245 8730 9894 10215 11577 14841 16490 19295 20430 22019 23154 24735 29682 34731 38590 44038 49470 57885 66057 69462 74205 110095 115770 132114 148410 173655 198171 220190 330285 347310 374323 396342 660570 748646 990855 1122969 1871615 1981710 2245938 3368907 3743230 5614845 6737814 11229690 16844535 33689070