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23424700 = 22521337487
BaseRepresentation
bin101100101011…
…0111010111100
31122002002122111
41121112322330
521444042300
62154023404
7403051405
oct131267274
948062574
1023424700
111224a362
127a17b64
134b12190
14317a9ac
1520ca9ba
hex1656ebc

23424700 has 72 divisors (see below), whose sum is σ = 56336672. Its totient is φ = 8398080.

The previous prime is 23424683. The next prime is 23424703. The reversal of 23424700 is 742432.

23424700 = T39 + T40 + ... + T519.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47857 + ... + 48343.

Almost surely, 223424700 is an apocalyptic number.

23424700 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 23424700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28168336).

23424700 is an abundant number, since it is smaller than the sum of its proper divisors (32911972).

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

23424700 is a wasteful number, since it uses less digits than its factorization.

23424700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 23424700 is about 4839.9070239004. The cubic root of 23424700 is about 286.1264539344.

The spelling of 23424700 in words is "twenty-three million, four hundred twenty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 185 260 325 370 481 487 650 740 925 962 974 1300 1850 1924 1948 2405 2435 3700 4810 4870 6331 9620 9740 12025 12175 12662 18019 24050 24350 25324 31655 36038 48100 48700 63310 72076 90095 126620 158275 180190 234247 316550 360380 450475 468494 633100 900950 936988 1171235 1801900 2342470 4684940 5856175 11712350 23424700