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23073000 = 233537691
BaseRepresentation
bin101100000000…
…1000011101000
31121102020012120
41120001003220
521401314000
62142311240
7400055136
oct130010350
947366176
1023073000
111202a0a5
127888520
134a1b082
1430c8756
15205b6a0
hex16010e8

23073000 has 64 divisors (see below), whose sum is σ = 71997120. Its totient is φ = 6152000.

The previous prime is 23072999. The next prime is 23073013. The reversal of 23073000 is 37032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (1124955).

Almost surely, 223073000 is an apocalyptic number.

23073000 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 23073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998560).

23073000 is an abundant number, since it is smaller than the sum of its proper divisors (48924120).

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

23073000 is a wasteful number, since it uses less digits than its factorization.

23073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 23073000 is about 4803.4362700050. The cubic root of 23073000 is about 284.6872531138.

The spelling of 23073000 in words is "twenty-three million, seventy-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7691 15382 23073 30764 38455 46146 61528 76910 92292 115365 153820 184584 192275 230730 307640 384550 461460 576825 769100 922920 961375 1153650 1538200 1922750 2307300 2884125 3845500 4614600 5768250 7691000 11536500 23073000