Search a number
-
+
23038830 = 235519499
BaseRepresentation
bin101011111100…
…0101101101110
31121100111100000
41113320231232
521344220310
62141445130
7366553413
oct127705556
947314300
1023038830
1112006461
1278707a6
134a08659
1430ba10a
1520514c0
hex15f8b6e

23038830 has 96 divisors (see below), whose sum is σ = 65520000. Its totient is φ = 5808672.

The previous prime is 23038817. The next prime is 23038837. The reversal of 23038830 is 3883032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23038794 and 23038803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23038837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45921 + ... + 46419.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 223038830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23038830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760000).

23038830 is an abundant number, since it is smaller than the sum of its proper divisors (42481170).

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

23038830 is a wasteful number, since it uses less digits than its factorization.

23038830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23038830 is about 4799.8781234527. The cubic root of 23038830 is about 284.5466476513.

It can be divided in two parts, 230 and 38830, that added together give a triangular number (39060 = T279).

The spelling of 23038830 in words is "twenty-three million, thirty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 499 513 570 810 855 998 1026 1215 1497 1539 1710 2430 2495 2565 2994 3078 4491 4617 4990 5130 7485 7695 8982 9234 9481 13473 14970 15390 18962 22455 23085 26946 28443 40419 44910 46170 47405 56886 67365 80838 85329 94810 121257 134730 142215 170658 202095 242514 255987 284430 404190 426645 511974 606285 767961 853290 1212570 1279935 1535922 2303883 2559870 3839805 4607766 7679610 11519415 23038830