Search a number
-
+
11673390 = 2351747487
BaseRepresentation
bin101100100001…
…111100101110
3210222001212210
4230201330232
510442022030
61054111250
7201136131
oct54417456
923861783
1011673390
116653433
123aab526
132559441
14179c218
151058bb0
hexb21f2e

11673390 has 64 divisors (see below), whose sum is σ = 30357504. Its totient is φ = 2861568.

The previous prime is 11673383. The next prime is 11673401. The reversal of 11673390 is 9337611.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23727 + ... + 24213.

It is an arithmetic number, because the mean of its divisors is an integer number (474336).

Almost surely, 211673390 is an apocalyptic number.

11673390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11673390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178752).

11673390 is an abundant number, since it is smaller than the sum of its proper divisors (18684114).

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

11673390 is a wasteful number, since it uses less digits than its factorization.

11673390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 11673390 is about 3416.6343087899. The cubic root of 11673390 is about 226.8466299551.

The spelling of 11673390 in words is "eleven million, six hundred seventy-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 487 510 705 799 974 1410 1461 1598 2397 2435 2922 3995 4794 4870 7305 7990 8279 11985 14610 16558 22889 23970 24837 41395 45778 49674 68667 82790 114445 124185 137334 228890 248370 343335 389113 686670 778226 1167339 1945565 2334678 3891130 5836695 11673390