Search a number
-
+
316004920 = 235721114657
BaseRepresentation
bin10010110101011…
…101101000111000
3211000121201020221
4102311131220320
51121344124140
651205025424
710554666100
oct2265355070
9730551227
10316004920
111524161a0
12899b5274
135061297a
142dd7c200
151cb2114a
hex12d5da38

316004920 has 96 divisors (see below), whose sum is σ = 902346480. Its totient is φ = 98488320.

The previous prime is 316004879. The next prime is 316004933. The reversal of 316004920 is 29400613.

316004920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

316004920 is a modest number, since divided by 4920 gives 3160 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14232 + ... + 28888.

Almost surely, 2316004920 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 316004920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451173240).

316004920 is an abundant number, since it is smaller than the sum of its proper divisors (586341560).

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

316004920 is a wasteful number, since it uses less digits than its factorization.

316004920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693 (or 14682 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 316004920 is about 17776.5272199043. The cubic root of 316004920 is about 681.1319957211.

The spelling of 316004920 in words is "three hundred sixteen million, four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 14657 21560 29314 58628 73285 102599 117256 146570 161227 205198 293140 322454 410396 512995 586280 644908 718193 806135 820792 1025990 1128589 1289816 1436386 1612270 2051980 2257178 2872772 3224540 3590965 4103960 4514356 5642945 5745544 6449080 7181930 7900123 9028712 11285890 14363860 15800246 22571780 28727720 31600492 39500615 45143560 63200984 79001230 158002460 316004920