Search a number
-
+
23326680 = 23351319787
BaseRepresentation
bin101100011111…
…0111111011000
31121220010012010
41120332333120
521432423210
62151545520
7402162546
oct130767730
947803163
1023326680
1112192753
12798b2a0
134aa9690
143152d96
1520ab920
hex163efd8

23326680 has 128 divisors (see below), whose sum is σ = 79430400. Its totient is φ = 5432832.

The previous prime is 23326673. The next prime is 23326697. The reversal of 23326680 is 8662332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29247 + ... + 30033.

It is an arithmetic number, because the mean of its divisors is an integer number (620550).

Almost surely, 223326680 is an apocalyptic number.

23326680 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 23326680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39715200).

23326680 is an abundant number, since it is smaller than the sum of its proper divisors (56103720).

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

23326680 is a wasteful number, since it uses less digits than its factorization.

23326680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23326680 is about 4829.7701808678. The cubic root of 23326680 is about 285.7267999281.

The spelling of 23326680 in words is "twenty-three million, three hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 787 988 1140 1235 1482 1560 1574 1976 2280 2361 2470 2964 3148 3705 3935 4722 4940 5928 6296 7410 7870 9444 9880 10231 11805 14820 14953 15740 18888 20462 23610 29640 29906 30693 31480 40924 44859 47220 51155 59812 61386 74765 81848 89718 94440 102310 119624 122772 149530 153465 179436 194389 204620 224295 245544 299060 306930 358872 388778 409240 448590 583167 598120 613860 777556 897180 971945 1166334 1227720 1555112 1794360 1943890 2332668 2915835 3887780 4665336 5831670 7775560 11663340 23326680