Search a number
-
+
612466380 = 223353136587
BaseRepresentation
bin100100100000010…
…111111011001100
31120200110111221000
4210200113323030
52223242411010
6140435140300
721114610161
oct4440277314
91520414830
10612466380
112947a3069
12151144690
1399b71c56
145b4b0068
1538b817c0
hex24817ecc

612466380 has 96 divisors (see below), whose sum is σ = 1966970880. Its totient is φ = 158051520.

The previous prime is 612466369. The next prime is 612466403. The reversal of 612466380 is 83664216.

612466380 is a `hidden beast` number, since 6 + 12 + 4 + 6 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1554 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (20489280).

Almost surely, 2612466380 is an apocalyptic number.

612466380 is a gapful number since it is divisible by the number (60) 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 612466380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983485440).

612466380 is an abundant number, since it is smaller than the sum of its proper divisors (1354504500).

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

612466380 is a wasteful number, since it uses less digits than its factorization.

612466380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36636 (or 36628 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 612466380 is about 24748.0581056373. The cubic root of 612466380 is about 849.2340874570.

The spelling of 612466380 in words is "six hundred twelve million, four hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 36587 73174 109761 146348 182935 219522 329283 365870 439044 548805 658566 731740 987849 1097610 1134197 1317132 1646415 1975698 2195220 2268394 3292830 3402591 3951396 4536788 4939245 5670985 6585660 6805182 9878490 10207773 11341970 13610364 17012955 19756980 20415546 22683940 30623319 34025910 40831092 51038865 61246638 68051820 102077730 122493276 153116595 204155460 306233190 612466380