Search a number
-
+
11920068 = 22331937157
BaseRepresentation
bin101101011110…
…001011000100
3211102121021000
4231132023010
511022420233
61103253300
7203214246
oct55361304
924377230
1011920068
1168017a6
123baa230
1326147c4
141824096
1510a6d13
hexb5e2c4

11920068 has 96 divisors (see below), whose sum is σ = 33622400. Its totient is φ = 3639168.

The previous prime is 11920067. The next prime is 11920079. The reversal of 11920068 is 86002911.

11920068 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 super-2 number, since 2×119200682 = 284176042249248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11920061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75846 + ... + 76002.

Almost surely, 211920068 is an apocalyptic number.

11920068 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 11920068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811200).

11920068 is an abundant number, since it is smaller than the sum of its proper divisors (21702332).

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

11920068 is a wasteful number, since it uses less digits than its factorization.

11920068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11920068 is about 3452.5451481480. The cubic root of 11920068 is about 228.4333862166.

Adding to 11920068 its reverse (86002911), we get a palindrome (97922979).

The spelling of 11920068 in words is "eleven million, nine hundred twenty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 157 171 222 228 314 333 342 444 471 513 628 666 684 703 942 999 1026 1332 1406 1413 1884 1998 2052 2109 2812 2826 2983 3996 4218 4239 5652 5809 5966 6327 8436 8478 8949 11618 11932 12654 16956 17427 17898 18981 23236 25308 26847 34854 35796 37962 52281 53694 69708 75924 80541 104562 107388 110371 156843 161082 209124 220742 313686 322164 331113 441484 627372 662226 993339 1324452 1986678 2980017 3973356 5960034 11920068