Search a number
-
+
23190120 = 23325371741
BaseRepresentation
bin101100001110…
…1101001101000
31121122011212100
41120131221220
521414040440
62145013400
7401053452
oct130355150
947564770
1023190120
11120aa098
127924260
134a5c485
1431192d2
152081230
hex161da68

23190120 has 96 divisors (see below), whose sum is σ = 77449320. Its totient is φ = 6013440.

The previous prime is 23190119. The next prime is 23190137. The reversal of 23190120 is 2109132.

23190120 = 2582 + 2592 + ... + 4422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 7650756 = 3942^2 + 2766^2 .

It is a super-2 number, since 2×231901202 = 1075563331228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23190093 and 23190102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12450 + ... + 14190.

Almost surely, 223190120 is an apocalyptic number.

23190120 is a gapful number since it is divisible by the number (20) 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 23190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724660).

23190120 is an abundant number, since it is smaller than the sum of its proper divisors (54259200).

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

23190120 is a wasteful number, since it uses less digits than its factorization.

23190120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 23190120 is about 4815.6121106252. The cubic root of 23190120 is about 285.1681371676.

Adding to 23190120 its reverse (2109132), we get a palindrome (25299252).

The spelling of 23190120 in words is "twenty-three million, one hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 1741 2220 2664 3330 3482 4440 5223 6660 6964 8705 10446 13320 13928 15669 17410 20892 26115 31338 34820 41784 52230 62676 64417 69640 78345 104460 125352 128834 156690 193251 208920 257668 313380 322085 386502 515336 579753 626760 644170 773004 966255 1159506 1288340 1546008 1932510 2319012 2576680 2898765 3865020 4638024 5797530 7730040 11595060 23190120