Search a number
-
+
23054080 = 28573183
BaseRepresentation
bin101011111110…
…0011100000000
31121101021020211
41113330130000
521400212310
62142043504
7366646030
oct127743400
947337224
1023054080
1112016965
127879594
134a1258a
1430c18c0
152055c8a
hex15fc700

23054080 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 7557120.

The previous prime is 23054069. The next prime is 23054089. The reversal of 23054080 is 8045032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23054089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277719 + ... + 277801.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 223054080 is an apocalyptic number.

23054080 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 23054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

23054080 is an abundant number, since it is smaller than the sum of its proper divisors (42877184).

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

23054080 is an equidigital number, since it uses as much as digits as its factorization.

23054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 23054080 is about 4801.4664426610. The cubic root of 23054080 is about 284.6094167429.

The spelling of 23054080 in words is "twenty-three million, fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 83 112 124 128 140 155 160 166 217 224 248 256 280 310 320 332 415 434 448 496 560 581 620 640 664 830 868 896 992 1085 1120 1162 1240 1280 1328 1660 1736 1792 1984 2170 2240 2324 2480 2573 2656 2905 3320 3472 3968 4340 4480 4648 4960 5146 5312 5810 6640 6944 7936 8680 8960 9296 9920 10292 10624 11620 12865 13280 13888 17360 18011 18592 19840 20584 21248 23240 25730 26560 27776 34720 36022 37184 39680 41168 46480 51460 53120 55552 69440 72044 74368 82336 90055 92960 102920 106240 138880 144088 148736 164672 180110 185920 205840 277760 288176 329344 360220 371840 411680 576352 658688 720440 743680 823360 1152704 1440880 1646720 2305408 2881760 3293440 4610816 5763520 11527040 23054080