[go: up one dir, main page]

Search a number
-
+
23423040 = 263352711
BaseRepresentation
bin101100101011…
…0100001000000
31122002000101000
41121112201000
521444014130
62154012000
7403043514
oct131264100
948060330
1023423040
1112249093
127a17000
134b114b4
14317a144
1520ca260
hex1656840

23423040 has 112 divisors (see below), whose sum is σ = 82661760. Its totient is φ = 6243840.

The previous prime is 23422951. The next prime is 23423047. The reversal of 23423040 is 4032432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23423047) 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, 7285 + ... + 9995.

Almost surely, 223423040 is an apocalyptic number.

23423040 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 23423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330880).

23423040 is an abundant number, since it is smaller than the sum of its proper divisors (59238720).

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

23423040 is a wasteful number, since it uses less digits than its factorization.

23423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23423040 is about 4839.7355299644. The cubic root of 23423040 is about 286.1196949558.

Adding to 23423040 its reverse (4032432), we get a palindrome (27455472).

It can be divided in two parts, 234230 and 40, that added together give a triangular number (234270 = T684).

The spelling of 23423040 in words is "twenty-three million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2711 2880 4320 5422 8133 8640 10844 13555 16266 21688 24399 27110 32532 40665 43376 48798 54220 65064 73197 81330 86752 97596 108440 121995 130128 146394 162660 173504 195192 216880 243990 260256 292788 325320 365985 390384 433760 487980 520512 585576 650640 731970 780768 867520 975960 1171152 1301280 1463940 1561536 1951920 2342304 2602560 2927880 3903840 4684608 5855760 7807680 11711520 23423040