Search a number
-
+
23580396 = 2234737281
BaseRepresentation
bin101100111110…
…0111011101100
31122101000020000
41121330323230
522014033041
62201224300
7404300340
oct131747354
948330200
1023580396
1112346334
127a92090
134b67cc8
1431bb620
15210bbb6
hex167ceec

23580396 has 120 divisors (see below), whose sum is σ = 72611616. Its totient is φ = 6531840.

The previous prime is 23580379. The next prime is 23580397. The reversal of 23580396 is 69308532.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23580396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23580397) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83776 + ... + 84056.

Almost surely, 223580396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23580396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36305808).

23580396 is an abundant number, since it is smaller than the sum of its proper divisors (49031220).

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

23580396 is a wasteful number, since it uses less digits than its factorization.

23580396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 23580396 is about 4855.9649916366. The cubic root of 23580396 is about 286.7589829474.

The spelling of 23580396 in words is "twenty-three million, five hundred eighty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 281 324 333 378 444 518 562 567 666 756 777 843 999 1036 1124 1134 1332 1554 1686 1967 1998 2268 2331 2529 2997 3108 3372 3934 3996 4662 5058 5901 5994 6993 7587 7868 9324 10116 10397 11802 11988 13986 15174 17703 20794 20979 22761 23604 27972 30348 31191 35406 41588 41958 45522 53109 62382 70812 72779 83916 91044 93573 106218 124764 145558 159327 187146 212436 218337 280719 291116 318654 374292 436674 561438 637308 655011 842157 873348 1122876 1310022 1684314 1965033 2620044 3368628 3930066 5895099 7860132 11790198 23580396