Search a number
-
+
23496720 = 24351317443
BaseRepresentation
bin101100110100…
…0100000010000
31122012202102220
41121220200100
522003343340
62155341040
7403501362
oct131504020
948182386
1023496720
1112299485
127a51780
134b38bb0
143198d32
1520e1ed0
hex1668810

23496720 has 160 divisors (see below), whose sum is σ = 83244672. Its totient is φ = 5431296.

The previous prime is 23496713. The next prime is 23496721. The reversal of 23496720 is 2769432.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23496721) 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, 52819 + ... + 53261.

Almost surely, 223496720 is an apocalyptic number.

23496720 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 23496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41622336).

23496720 is an abundant number, since it is smaller than the sum of its proper divisors (59747952).

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

23496720 is a wasteful number, since it uses less digits than its factorization.

23496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 23496720 is about 4847.3415394420. The cubic root of 23496720 is about 286.4193889478.

The spelling of 23496720 in words is "twenty-three million, four hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 443 510 520 624 663 680 780 816 884 886 1020 1040 1105 1326 1329 1360 1560 1768 1772 2040 2210 2215 2652 2658 3120 3315 3536 3544 4080 4420 4430 5304 5316 5759 6630 6645 7088 7531 8840 8860 10608 10632 11518 13260 13290 15062 17277 17680 17720 21264 22593 23036 26520 26580 28795 30124 34554 35440 37655 45186 46072 53040 53160 57590 60248 69108 75310 86385 90372 92144 97903 106320 112965 115180 120496 138216 150620 172770 180744 195806 225930 230360 276432 293709 301240 345540 361488 391612 451860 460720 489515 587418 602480 691080 783224 903720 979030 1174836 1382160 1468545 1566448 1807440 1958060 2349672 2937090 3916120 4699344 5874180 7832240 11748360 23496720