[go: up one dir, main page]

Search a number
-
+
23007360 = 273523521
BaseRepresentation
bin101011111000…
…1000010000000
31121021220011110
41113301002000
521342213420
62141043320
7366362565
oct127610200
947256143
1023007360
1111a94852
127856540
1349c722c
1430ac86c
152046ee0
hex15f1080

23007360 has 128 divisors (see below), whose sum is σ = 76671360. Its totient is φ = 5857280.

The previous prime is 23007359. The next prime is 23007371. The reversal of 23007360 is 6370032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×230073602 = 1058677228339200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43900 + ... + 44420.

It is an arithmetic number, because the mean of its divisors is an integer number (598995).

Almost surely, 223007360 is an apocalyptic number.

23007360 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 23007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38335680).

23007360 is an abundant number, since it is smaller than the sum of its proper divisors (53664000).

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

23007360 is a wasteful number, since it uses less digits than its factorization.

23007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 23007360 is about 4796.5987949796. The cubic root of 23007360 is about 284.4170293312.

Adding to 23007360 its reverse (6370032), we get a palindrome (29377392).

The spelling of 23007360 in words is "twenty-three million, seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 521 552 640 690 736 920 960 1042 1104 1380 1472 1563 1840 1920 2084 2208 2605 2760 2944 3126 3680 4168 4416 5210 5520 6252 7360 7815 8336 8832 10420 11040 11983 12504 14720 15630 16672 20840 22080 23966 25008 31260 33344 35949 41680 44160 47932 50016 59915 62520 66688 71898 83360 95864 100032 119830 125040 143796 166720 179745 191728 200064 239660 250080 287592 333440 359490 383456 479320 500160 575184 718980 766912 958640 1000320 1150368 1437960 1533824 1917280 2300736 2875920 3834560 4601472 5751840 7669120 11503680 23007360