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23406900 = 223521141173
BaseRepresentation
bin101100101001…
…0100100110100
31122001012020020
41121102210310
521443010100
62153405140
7402645456
oct131224464
948035206
1023406900
1112237a50
127a097b0
134b0704a
1431742d6
1520c55a0
hex1652934

23406900 has 144 divisors (see below), whose sum is σ = 76120128. Its totient is φ = 5504000.

The previous prime is 23406899. The next prime is 23406907. The reversal of 23406900 is 960432.

It is a super-2 number, since 2×234069002 = 1095765935220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23406907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135214 + ... + 135386.

It is an arithmetic number, because the mean of its divisors is an integer number (528612).

Almost surely, 223406900 is an apocalyptic number.

23406900 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 23406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38060064).

23406900 is an abundant number, since it is smaller than the sum of its proper divisors (52713228).

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

23406900 is a wasteful number, since it uses less digits than its factorization.

23406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23406900 is about 4838.0677961351. The cubic root of 23406900 is about 286.0539614874.

The spelling of 23406900 in words is "twenty-three million, four hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 173 205 220 246 275 300 330 346 410 451 492 519 550 615 660 692 820 825 865 902 1025 1038 1100 1230 1353 1650 1730 1804 1903 2050 2076 2255 2460 2595 2706 3075 3300 3460 3806 4100 4325 4510 5190 5412 5709 6150 6765 7093 7612 8650 9020 9515 10380 11275 11418 12300 12975 13530 14186 17300 19030 21279 22550 22836 25950 27060 28372 28545 33825 35465 38060 42558 45100 47575 51900 57090 67650 70930 78023 85116 95150 106395 114180 135300 141860 142725 156046 177325 190300 212790 234069 285450 312092 354650 390115 425580 468138 531975 570900 709300 780230 936276 1063950 1170345 1560460 1950575 2127900 2340690 3901150 4681380 5851725 7802300 11703450 23406900