Search a number
-
+
23001120 = 2532515973
BaseRepresentation
bin101011110111…
…1100000100000
31121021120121100
41113233200200
521342013440
62140554400
7366335442
oct127574040
947246540
1023001120
1111a9009a
127852a00
1349c443c
1430aa492
152045230
hex15ef820

23001120 has 72 divisors (see below), whose sum is σ = 78496236. Its totient is φ = 6133248.

The previous prime is 23001109. The next prime is 23001137. The reversal of 23001120 is 2110032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 76176 = 4788^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6547 + ... + 9426.

Almost surely, 223001120 is an apocalyptic number.

23001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001120 is an abundant number, since it is smaller than the sum of its proper divisors (55495116).

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

23001120 is a wasteful number, since it uses less digits than its factorization.

23001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 23001120 is about 4795.9482899631. The cubic root of 23001120 is about 284.3913140421.

Adding to 23001120 its reverse (2110032), we get a palindrome (25111152).

The spelling of 23001120 in words is "twenty-three million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15973 31946 47919 63892 79865 95838 127784 143757 159730 191676 239595 255568 287514 319460 383352 479190 511136 575028 638920 718785 766704 958380 1150056 1277840 1437570 1533408 1916760 2300112 2555680 2875140 3833520 4600224 5750280 7667040 11500560 23001120