Search a number
-
+
18355440 = 243576481
BaseRepresentation
bin100011000000…
…1010011110000
31021112112221010
41012001103300
514144333230
61453230520
7312006255
oct106012360
937475833
1018355440
11a3a7794
126192440
133a58a0c
14261b42c
1519289b0
hex11814f0

18355440 has 40 divisors (see below), whose sum is σ = 56902608. Its totient is φ = 4894720.

The previous prime is 18355433. The next prime is 18355451. The reversal of 18355440 is 4455381.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 18355398 and 18355407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38001 + ... + 38480.

Almost surely, 218355440 is an apocalyptic number.

18355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18355440 is an abundant number, since it is smaller than the sum of its proper divisors (38547168).

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

18355440 is a wasteful number, since it uses less digits than its factorization.

18355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76497 (or 76491 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 18355440 is about 4284.3249176504. The cubic root of 18355440 is about 263.7879380600.

The spelling of 18355440 in words is "eighteen million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 76481 152962 229443 305924 382405 458886 611848 764810 917772 1147215 1223696 1529620 1835544 2294430 3059240 3671088 4588860 6118480 9177720 18355440