Search a number
-
+
11964120 = 2335714243
BaseRepresentation
bin101101101000…
…111011011000
3211111211200120
4231220323120
511030322440
61104233240
7203456550
oct55507330
924454616
1011964120
116831903
12400b820
13262b87c
141836160
1510b4dd0
hexb68ed8

11964120 has 64 divisors (see below), whose sum is σ = 41022720. Its totient is φ = 2734464.

The previous prime is 11964119. The next prime is 11964131. The reversal of 11964120 is 2146911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6282 + ... + 7961.

It is an arithmetic number, because the mean of its divisors is an integer number (640980).

Almost surely, 211964120 is an apocalyptic number.

11964120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11964120 is an abundant number, since it is smaller than the sum of its proper divisors (29058600).

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

11964120 is a wasteful number, since it uses less digits than its factorization.

11964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264 (or 14260 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11964120 is about 3458.9189062480. The cubic root of 11964120 is about 228.7144410074.

The spelling of 11964120 in words is "eleven million, nine hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14243 28486 42729 56972 71215 85458 99701 113944 142430 170916 199402 213645 284860 299103 341832 398804 427290 498505 569720 598206 797608 854580 997010 1196412 1495515 1709160 1994020 2392824 2991030 3988040 5982060 11964120