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23430660 = 223511131271
BaseRepresentation
bin101100101100…
…0011000000100
31122002101211020
41121120120010
521444240120
62154111140
7403104651
oct131303004
948071736
1023430660
1112253890
127a1b4b0
134b14ac6
14317cc28
1520cc640
hex1658604

23430660 has 96 divisors (see below), whose sum is σ = 72382464. Its totient is φ = 5616000.

The previous prime is 23430653. The next prime is 23430677. The reversal of 23430660 is 6603432.

It is a self number, because there is not a number n which added to its sum of digits gives 23430660.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86325 + ... + 86595.

It is an arithmetic number, because the mean of its divisors is an integer number (753984).

Almost surely, 223430660 is an apocalyptic number.

23430660 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 23430660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36191232).

23430660 is an abundant number, since it is smaller than the sum of its proper divisors (48951804).

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

23430660 is a wasteful number, since it uses less digits than its factorization.

23430660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 23430660 is about 4840.5226990481. The cubic root of 23430660 is about 286.1507184793.

It can be divided in two parts, 23430 and 660, that added together give a triangular number (24090 = T219).

The spelling of 23430660 in words is "twenty-three million, four hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 271 330 393 524 542 655 660 786 813 1084 1310 1355 1441 1572 1626 1965 2620 2710 2882 2981 3252 3930 4065 4323 5420 5764 5962 7205 7860 8130 8646 8943 11924 14410 14905 16260 17292 17886 21615 28820 29810 35501 35772 43230 44715 59620 71002 86460 89430 106503 142004 177505 178860 213006 355010 390511 426012 532515 710020 781022 1065030 1171533 1562044 1952555 2130060 2343066 3905110 4686132 5857665 7810220 11715330 23430660