Search a number
-
+
11917368 = 233453347
BaseRepresentation
bin101101011101…
…100000111000
3211102110120000
4231131200320
511022323433
61103233000
7203203341
oct55354070
924373500
1011917368
1167aa771
123ba8760
1326134c8
1418230c8
1510a6113
hexb5d838

11917368 has 80 divisors (see below), whose sum is σ = 34107480. Its totient is φ = 3886272.

The previous prime is 11917349. The next prime is 11917393. The reversal of 11917368 is 86371911.

11917368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34171 + ... + 34517.

Almost surely, 211917368 is an apocalyptic number.

11917368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11917368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053740).

11917368 is an abundant number, since it is smaller than the sum of its proper divisors (22190112).

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

11917368 is a wasteful number, since it uses less digits than its factorization.

11917368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11917368 is about 3452.1541101173. The cubic root of 11917368 is about 228.4161375254.

The spelling of 11917368 in words is "eleven million, nine hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 347 424 477 636 648 694 954 1041 1272 1388 1431 1908 2082 2776 2862 3123 3816 4164 4293 5724 6246 8328 8586 9369 11448 12492 17172 18391 18738 24984 28107 34344 36782 37476 55173 56214 73564 74952 110346 112428 147128 165519 220692 224856 331038 441384 496557 662076 993114 1324152 1489671 1986228 2979342 3972456 5958684 11917368