Search a number
-
+
390732012 = 223411176449
BaseRepresentation
bin10111010010100…
…001100011101100
31000020020020120000
4113102201203230
51300011411022
6102434424300
712453111246
oct2722414354
91006206500
10390732012
11190615820
12aaa32090
1362c47c98
1439c71096
15244826ac
hex174a18ec

390732012 has 120 divisors (see below), whose sum is σ = 1180040400. Its totient is φ = 111421440.

The previous prime is 390732011. The next prime is 390732019. The reversal of 390732012 is 210237093.

390732012 is a `hidden beast` number, since 390 + 73 + 201 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (390732011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57364 + ... + 63812.

It is an arithmetic number, because the mean of its divisors is an integer number (9833670).

Almost surely, 2390732012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390732012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590020200).

390732012 is an abundant number, since it is smaller than the sum of its proper divisors (789308388).

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

390732012 is a wasteful number, since it uses less digits than its factorization.

390732012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6482 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 390732012 is about 19766.9424039228. The cubic root of 390732012 is about 731.0711815222.

The spelling of 390732012 in words is "three hundred ninety million, seven hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1122 1188 1377 1683 1782 1836 2244 2754 3366 3564 5049 5508 6449 6732 10098 12898 15147 19347 20196 25796 30294 38694 58041 60588 70939 77388 109633 116082 141878 174123 212817 219266 232164 283756 328899 348246 425634 438532 522369 638451 657798 696492 851268 986697 1044738 1205963 1276902 1315596 1915353 1973394 2089476 2411926 2553804 2960091 3617889 3830706 3946788 4823852 5746059 5920182 7235778 7661412 8880273 10853667 11492118 11840364 14471556 17760546 21707334 22984236 32561001 35521092 43414668 65122002 97683003 130244004 195366006 390732012