Search a number
-
+
23101520 = 2451397229
BaseRepresentation
bin101100000100…
…0000001010000
31121110200022212
41120020001100
521403222040
62143051252
7400234241
oct130100120
947420285
1023101520
1112049572
1278a0b28
134a2b050
1430d4cc8
152064d65
hex1608050

23101520 has 80 divisors (see below), whose sum is σ = 58694160. Its totient is φ = 8404992.

The previous prime is 23101489. The next prime is 23101531. The reversal of 23101520 is 2510132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 23078416 = 152^2 + 4804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23101495 and 23101504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100766 + ... + 100994.

It is an arithmetic number, because the mean of its divisors is an integer number (733677).

Almost surely, 223101520 is an apocalyptic number.

23101520 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 23101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29347080).

23101520 is an abundant number, since it is smaller than the sum of its proper divisors (35592640).

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

23101520 is a wasteful number, since it uses less digits than its factorization.

23101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 23101520 is about 4806.4040612499. The cubic root of 23101520 is about 284.8045032533.

Adding to 23101520 its reverse (2510132), we get a palindrome (25611652).

The spelling of 23101520 in words is "twenty-three million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 229 260 388 458 485 520 776 916 970 1040 1145 1261 1552 1832 1940 2290 2522 2977 3664 3880 4580 5044 5954 6305 7760 9160 10088 11908 12610 14885 18320 20176 22213 23816 25220 29770 44426 47632 50440 59540 88852 100880 111065 119080 177704 222130 238160 288769 355408 444260 577538 888520 1155076 1443845 1777040 2310152 2887690 4620304 5775380 11550760 23101520