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23135670 = 2325594357
BaseRepresentation
bin101100001000…
…0010110110110
31121112102011200
41120100112312
521410320140
62143513330
7400435635
oct130202666
947472150
1023135670
1112072198
1278b8846
134a4075c
14310351c
152070030
hex16105b6

23135670 has 48 divisors (see below), whose sum is σ = 61186320. Its totient is φ = 6063552.

The previous prime is 23135633. The next prime is 23135681. The reversal of 23135670 is 7653132.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3132 + ... + 7488.

It is an arithmetic number, because the mean of its divisors is an integer number (1274715).

Almost surely, 223135670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30593160).

23135670 is an abundant number, since it is smaller than the sum of its proper divisors (38050650).

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

23135670 is a wasteful number, since it uses less digits than its factorization.

23135670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 23135670 is about 4809.9553012476. The cubic root of 23135670 is about 284.9447723088.

It can be divided in two parts, 231 and 35670, that multiplied together give a triangular number (8239770 = T4059).

The spelling of 23135670 in words is "twenty-three million, one hundred thirty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 4357 5310 8714 13071 21785 26142 39213 43570 65355 78426 130710 196065 257063 392130 514126 771189 1285315 1542378 2313567 2570630 3855945 4627134 7711890 11567835 23135670