Search a number
-
+
116604320 = 25572107139
BaseRepresentation
bin1101111001100…
…11110110100000
322010102010001112
412330303312200
5214322314240
615323122452
72614056200
oct674636640
9263363045
10116604320
115a902608
1233073428
131b208451
14116b4400
15a384665
hex6f33da0

116604320 has 144 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 39320064.

The previous prime is 116604317. The next prime is 116604337. The reversal of 116604320 is 23406611.

It is a happy 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, 838811 + ... + 838949.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2116604320 is an apocalyptic number.

116604320 is a gapful number since it is divisible by the number (10) 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 116604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

116604320 is an abundant number, since it is smaller than the sum of its proper divisors (209171200).

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

116604320 is a wasteful number, since it uses less digits than its factorization.

116604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 116604320 is about 10798.3480218041. The cubic root of 116604320 is about 488.5453457311.

The spelling of 116604320 in words is "one hundred sixteen million, six hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 107 112 139 140 160 196 214 224 245 278 280 392 428 490 535 556 560 695 749 784 856 973 980 1070 1112 1120 1390 1498 1568 1712 1946 1960 2140 2224 2780 2996 3424 3745 3892 3920 4280 4448 4865 5243 5560 5992 6811 7490 7784 7840 8560 9730 10486 11120 11984 13622 14873 14980 15568 17120 19460 20972 22240 23968 26215 27244 29746 29960 31136 34055 38920 41944 52430 54488 59492 59920 68110 74365 77840 83888 104111 104860 108976 118984 119840 136220 148730 155680 167776 208222 209720 217952 237968 272440 297460 416444 419440 475936 520555 544880 594920 728777 832888 838880 1041110 1089760 1189840 1457554 1665776 2082220 2379680 2915108 3331552 3643885 4164440 5830216 7287770 8328880 11660432 14575540 16657760 23320864 29151080 58302160 116604320