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23490600 = 23352721747
BaseRepresentation
bin101100110011…
…1000000101000
31122012110001020
41121213000220
522003144400
62155252440
7403444500
oct131470050
948173036
1023490600
1112294921
127a4a120
134b36183
143196a00
1520e02a0
hex1667028

23490600 has 288 divisors, whose sum is σ = 91601280. Its totient is φ = 4945920.

The previous prime is 23490547. The next prime is 23490611. The reversal of 23490600 is 609432.

It is a super-3 number, since 3×234906003 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499777 + ... + 499823.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 223490600 is an apocalyptic number.

23490600 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 23490600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

23490600 is an abundant number, since it is smaller than the sum of its proper divisors (68110680).

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

23490600 is a wasteful number, since it uses less digits than its factorization.

23490600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

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

The square root of 23490600 is about 4846.7102244719. The cubic root of 23490600 is about 286.3945196771.

It can be divided in two parts, 23490 and 600, that added together give a triangular number (24090 = T219).

The spelling of 23490600 in words is "twenty-three million, four hundred ninety thousand, six hundred".