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33420660 = 22357136121
BaseRepresentation
bin111111101111…
…1010101110100
32022212221112020
41333133111310
532023430120
63152153140
7554033220
oct177372564
968787466
1033420660
1117957489
12b2387b0
136c01c50
14461d780
152e02640
hex1fdf574

33420660 has 96 divisors (see below), whose sum is σ = 115191552. Its totient is φ = 7050240.

The previous prime is 33420643. The next prime is 33420683. The reversal of 33420660 is 6602433.

It is a super-2 number, since 2×334206602 = 2233881029671200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33420660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400 + ... + 8520.

It is an arithmetic number, because the mean of its divisors is an integer number (1199912).

Almost surely, 233420660 is an apocalyptic number.

33420660 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 33420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57595776).

33420660 is an abundant number, since it is smaller than the sum of its proper divisors (81770892).

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

33420660 is a wasteful number, since it uses less digits than its factorization.

33420660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 33420660 is about 5781.0604563523. The cubic root of 33420660 is about 322.1105930316.

The spelling of 33420660 in words is "thirty-three million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 6121 12242 18363 24484 30605 36726 42847 61210 73452 79573 85694 91815 122420 128541 159146 171388 183630 214235 238719 257082 318292 367260 397865 428470 477438 514164 557011 642705 795730 856940 954876 1114022 1193595 1285410 1591460 1671033 2228044 2387190 2570820 2785055 3342066 4774380 5570110 6684132 8355165 11140220 16710330 33420660