Search a number
-
+
23099440 = 24571319167
BaseRepresentation
bin101100000011…
…1100000110000
31121110120110211
41120013200300
521403140230
62143033504
7400225210
oct130074060
947416424
1023099440
1112047a51
12789b894
134a2a110
1430d4240
15206442a
hex1607830

23099440 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 6884352.

The previous prime is 23099431. The next prime is 23099449. The reversal of 23099440 is 4499032.

It is an interprime number because it is at equal distance from previous prime (23099431) and next prime (23099449).

It is not an unprimeable number, because it can be changed into a prime (23099449) 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, 138237 + ... + 138403.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 223099440 is an apocalyptic number.

23099440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23099440 is the 3040-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

23099440 is an abundant number, since it is smaller than the sum of its proper divisors (46896080).

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

23099440 is a wasteful number, since it uses less digits than its factorization.

23099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 23099440 is about 4806.1876783996. The cubic root of 23099440 is about 284.7959553144.

The spelling of 23099440 in words is "twenty-three million, ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 167 182 190 208 247 260 266 280 304 334 364 380 455 494 520 532 560 665 668 728 760 835 910 988 1040 1064 1169 1235 1330 1336 1456 1520 1670 1729 1820 1976 2128 2171 2338 2470 2660 2672 3173 3340 3458 3640 3952 4342 4676 4940 5320 5845 6346 6680 6916 7280 8645 8684 9352 9880 10640 10855 11690 12692 13360 13832 15197 15865 17290 17368 18704 19760 21710 22211 23380 25384 27664 30394 31730 34580 34736 41249 43420 44422 46760 50768 60788 63460 69160 75985 82498 86840 88844 93520 111055 121576 126920 138320 151970 164996 173680 177688 206245 222110 243152 253840 288743 303940 329992 355376 412490 444220 577486 607880 659984 824980 888440 1154972 1215760 1443715 1649960 1776880 2309944 2887430 3299920 4619888 5774860 11549720 23099440