Search a number
-
+
23027160 = 23351329509
BaseRepresentation
bin101011111010…
…1110111011000
31121022220022210
41113311313120
521343332120
62141315120
7366504402
oct127656730
947286283
1023027160
1111aa8712
127865aa0
134a03250
1430b5b72
15204cce0
hex15f5dd8

23027160 has 128 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 5462016.

The previous prime is 23027159. The next prime is 23027161. The reversal of 23027160 is 6172032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23027159) and next prime (23027161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23027161) 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, 44986 + ... + 45494.

Almost surely, 223027160 is an apocalyptic number.

23027160 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 23027160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

23027160 is an abundant number, since it is smaller than the sum of its proper divisors (54084840).

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

23027160 is a wasteful number, since it uses less digits than its factorization.

23027160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 23027160 is about 4798.6623136037. The cubic root of 23027160 is about 284.4985951502.

Adding to 23027160 its reverse (6172032), we get a palindrome (29199192).

The spelling of 23027160 in words is "twenty-three million, twenty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 509 520 580 696 754 780 870 1018 1131 1160 1508 1527 1560 1740 1885 2036 2262 2545 3016 3054 3480 3770 4072 4524 5090 5655 6108 6617 7540 7635 9048 10180 11310 12216 13234 14761 15080 15270 19851 20360 22620 26468 29522 30540 33085 39702 44283 45240 52936 59044 61080 66170 73805 79404 88566 99255 118088 132340 147610 158808 177132 191893 198510 221415 264680 295220 354264 383786 397020 442830 575679 590440 767572 794040 885660 959465 1151358 1535144 1771320 1918930 2302716 2878395 3837860 4605432 5756790 7675720 11513580 23027160