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23506000 = 245372373
BaseRepresentation
bin101100110101…
…0110001010000
31122020020011121
41121222301100
522004143000
62155452024
7403540420
oct131526120
948206147
1023506000
11122a5451
127a57014
134b4019b
14319c480
1520e4b1a
hex166ac50

23506000 has 160 divisors (see below), whose sum is σ = 68709888. Its totient is φ = 7603200.

The previous prime is 23505971. The next prime is 23506003. The reversal of 23506000 is 60532.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23506003) 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 31 ways as a sum of consecutive naturals, for example, 321964 + ... + 322036.

Almost surely, 223506000 is an apocalyptic number.

23506000 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 23506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354944).

23506000 is an abundant number, since it is smaller than the sum of its proper divisors (45203888).

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

23506000 is a wasteful number, since it uses less digits than its factorization.

23506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23506000 is about 4848.2986706679. The cubic root of 23506000 is about 286.4570909772.

Adding to 23506000 its reverse (60532), we get a palindrome (23566532).

The spelling of 23506000 in words is "twenty-three million, five hundred six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 73 80 92 100 112 115 125 140 146 161 175 184 200 230 250 280 292 322 350 365 368 400 460 500 511 560 575 584 644 700 730 805 875 920 1000 1022 1150 1168 1288 1400 1460 1610 1679 1750 1825 1840 2000 2044 2300 2555 2576 2800 2875 2920 3220 3358 3500 3650 4025 4088 4600 5110 5750 5840 6440 6716 7000 7300 8050 8176 8395 9125 9200 10220 11500 11753 12775 12880 13432 14000 14600 16100 16790 18250 20125 20440 23000 23506 25550 26864 29200 32200 33580 36500 40250 40880 41975 46000 47012 51100 58765 63875 64400 67160 73000 80500 83950 94024 102200 117530 127750 134320 146000 161000 167900 188048 204400 209875 235060 255500 293825 322000 335800 419750 470120 511000 587650 671600 839500 940240 1022000 1175300 1469125 1679000 2350600 2938250 3358000 4701200 5876500 11753000 23506000