Search a number
-
+
33630420 = 22351732971
BaseRepresentation
bin1000000001001…
…0100011010100
32100021121021010
42000102203110
532102133140
63200452220
7555565605
oct200224324
970247233
1033630420
1117a9003a
12b31a070
136c76575
144675dac
152e44880
hex20128d4

33630420 has 48 divisors (see below), whose sum is σ = 99707328. Its totient is φ = 8440320.

The previous prime is 33630391. The next prime is 33630431. The reversal of 33630420 is 2403633.

It is a super-2 number, since 2×336304202 = 2262010298752800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15466 + ... + 17505.

It is an arithmetic number, because the mean of its divisors is an integer number (2077236).

Almost surely, 233630420 is an apocalyptic number.

33630420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33630420 is an abundant number, since it is smaller than the sum of its proper divisors (66076908).

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

33630420 is a wasteful number, since it uses less digits than its factorization.

33630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33000 (or 32998 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 33630420 is about 5799.1740791254. The cubic root of 33630420 is about 322.7830817745.

The spelling of 33630420 in words is "thirty-three million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 32971 65942 98913 131884 164855 197826 329710 395652 494565 560507 659420 989130 1121014 1681521 1978260 2242028 2802535 3363042 5605070 6726084 8407605 11210140 16815210 33630420