Search a number
-
+
6553920 = 26356827
BaseRepresentation
bin11001000000000101000000
3110022222021210
4121000011000
53134211140
6352250120
7106464432
oct31000500
913288253
106553920
11377706a
122240940
131486179
14c28652
15896d80
hex640140

6553920 has 56 divisors (see below), whose sum is σ = 20811744. Its totient is φ = 1747456.

The previous prime is 6553909. The next prime is 6553933. The reversal of 6553920 is 293556.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454 + ... + 4373.

Almost surely, 26553920 is an apocalyptic number.

6553920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6553920 is an abundant number, since it is smaller than the sum of its proper divisors (14257824).

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

6553920 is a wasteful number, since it uses less digits than its factorization.

6553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 6553920 is about 2560.0624992371. The cubic root of 6553920 is about 187.1401810479.

The spelling of 6553920 in words is "six million, five hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 6827 13654 20481 27308 34135 40962 54616 68270 81924 102405 109232 136540 163848 204810 218464 273080 327696 409620 436928 546160 655392 819240 1092320 1310784 1638480 2184640 3276960 6553920