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23630420 = 22511372903
BaseRepresentation
bin101101000100…
…1001001010100
31122110112211202
41122021021110
522022133140
62202252032
7404566232
oct132111124
948415752
1023630420
111237a980
127ab7018
134b849c8
1431d1952
15211b915
hex1689254

23630420 has 48 divisors (see below), whose sum is σ = 55617408. Its totient is φ = 8357760.

The previous prime is 23630419. The next prime is 23630423. The reversal of 23630420 is 2403632.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23630392 and 23630401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23630423) 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, 6689 + ... + 9591.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 223630420 is an apocalyptic number.

23630420 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 23630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27808704).

23630420 is an abundant number, since it is smaller than the sum of its proper divisors (31986988).

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

23630420 is a wasteful number, since it uses less digits than its factorization.

23630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 23630420 is about 4861.1130412695. The cubic root of 23630420 is about 286.9616187793.

The spelling of 23630420 in words is "twenty-three million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 2903 4070 5806 8140 11612 14515 29030 31933 58060 63866 107411 127732 159665 214822 319330 429644 537055 638660 1074110 1181521 2148220 2363042 4726084 5907605 11815210 23630420