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115166240 = 2557312107
BaseRepresentation
bin1101101110101…
…00110000100000
322000201001101022
412313110300200
5213440304430
615232225012
72565616430
oct667246040
9260631338
10115166240
115a010112
123269b168
131ab23a07
141141c2c0
15a19d4e5
hex6dd4c20

115166240 has 144 divisors (see below), whose sum is σ = 324305856. Its totient is φ = 37854720.

The previous prime is 115166203. The next prime is 115166243. The reversal of 115166240 is 42661511.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (115166243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076267 + ... + 1076373.

It is an arithmetic number, because the mean of its divisors is an integer number (2252124).

Almost surely, 2115166240 is an apocalyptic number.

115166240 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 115166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162152928).

115166240 is an abundant number, since it is smaller than the sum of its proper divisors (209139616).

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

115166240 is a wasteful number, since it uses less digits than its factorization.

115166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 115166240 is about 10731.5534756157. The cubic root of 115166240 is about 486.5286237198.

The spelling of 115166240 in words is "one hundred fifteen million, one hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 107 112 124 140 155 160 214 217 224 248 280 310 428 434 496 535 560 620 749 856 868 961 992 1070 1085 1120 1240 1498 1712 1736 1922 2140 2170 2480 2996 3317 3424 3472 3745 3844 4280 4340 4805 4960 5992 6634 6727 6944 7490 7688 8560 8680 9610 11984 13268 13454 14980 15376 16585 17120 17360 19220 23219 23968 26536 26908 29960 30752 33170 33635 34720 38440 46438 53072 53816 59920 66340 67270 76880 92876 102827 106144 107632 116095 119840 132680 134540 153760 185752 205654 215264 232190 265360 269080 371504 411308 464380 514135 530720 538160 719789 743008 822616 928760 1028270 1076320 1439578 1645232 1857520 2056540 2879156 3290464 3598945 3715040 4113080 5758312 7197890 8226160 11516624 14395780 16452320 23033248 28791560 57583120 115166240