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33068940 = 22352331773
BaseRepresentation
bin111111000100…
…1011110001100
32022020002001120
41332021132030
531431201230
63140440540
7551036622
oct176113614
968202046
1033068940
1117737203
12b0a9150
136b0ab28
14456b512
152d83310
hex1f8978c

33068940 has 96 divisors (see below), whose sum is σ = 99864576. Its totient is φ = 8152320.

The previous prime is 33068939. The next prime is 33068947. The reversal of 33068940 is 4986033.

It is not an unprimeable number, because it can be changed into a prime (33068947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42394 + ... + 43166.

It is an arithmetic number, because the mean of its divisors is an integer number (1040256).

Almost surely, 233068940 is an apocalyptic number.

33068940 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 33068940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49932288).

33068940 is an abundant number, since it is smaller than the sum of its proper divisors (66795636).

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

33068940 is a wasteful number, since it uses less digits than its factorization.

33068940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33068940 is about 5750.5599727331. The cubic root of 33068940 is about 320.9766386663.

It can be divided in two parts, 3306 and 8940, that added together give a triangular number (12246 = T156).

The spelling of 33068940 in words is "thirty-three million, sixty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 773 930 1380 1426 1546 1860 2139 2319 2852 3092 3565 3865 4278 4638 7130 7730 8556 9276 10695 11595 14260 15460 17779 21390 23190 23963 35558 42780 46380 47926 53337 71116 71889 88895 95852 106674 119815 143778 177790 213348 239630 266685 287556 355580 359445 479260 533370 551149 718890 1066740 1102298 1437780 1653447 2204596 2755745 3306894 5511490 6613788 8267235 11022980 16534470 33068940