Search a number
-
+
12354930 = 234572179
BaseRepresentation
bin101111001000…
…010101110010
3212020200210000
4233020111302
511130324210
61120450430
7210005130
oct57102562
925220700
1012354930
116a79495
124179a16
132737713
1418d8750
151140ac0
hexbc8572

12354930 has 80 divisors (see below), whose sum is σ = 37984320. Its totient is φ = 2822688.

The previous prime is 12354919. The next prime is 12354943. The reversal of 12354930 is 3945321.

12354930 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12354894 and 12354903.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4581 + ... + 6759.

It is an arithmetic number, because the mean of its divisors is an integer number (474804).

Almost surely, 212354930 is an apocalyptic number.

12354930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12354930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992160).

12354930 is an abundant number, since it is smaller than the sum of its proper divisors (25629390).

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

12354930 is a wasteful number, since it uses less digits than its factorization.

12354930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 12354930 is about 3514.9580367339. The cubic root of 12354930 is about 231.1781388596.

The spelling of 12354930 in words is "twelve million, three hundred fifty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2179 2835 4358 5670 6537 10895 13074 15253 19611 21790 30506 32685 39222 45759 58833 65370 76265 91518 98055 117666 137277 152530 176499 196110 228795 274554 294165 352998 411831 457590 588330 686385 823662 882495 1235493 1372770 1764990 2059155 2470986 4118310 6177465 12354930