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118138240 = 2751197173
BaseRepresentation
bin1110000101010…
…10010110000000
322020022001012101
413002222112000
5220220410430
615420040144
72633105233
oct702522600
9266261171
10118138240
1160760010
1233693054
131b6246ac
141199341a
15a588dca
hex70aa580

118138240 has 128 divisors (see below), whose sum is σ = 313074720. Its totient is φ = 42270720.

The previous prime is 118138193. The next prime is 118138247. The reversal of 118138240 is 42831811.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 118138199 and 118138208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118138247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682794 + ... + 682966.

Almost surely, 2118138240 is an apocalyptic number.

118138240 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 118138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156537360).

118138240 is an abundant number, since it is smaller than the sum of its proper divisors (194936480).

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

118138240 is a wasteful number, since it uses less digits than its factorization.

118138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 118138240 is about 10869.1416404425. The cubic root of 118138240 is about 490.6782776605.

The spelling of 118138240 in words is "one hundred eighteen million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 97 110 128 160 173 176 194 220 320 346 352 388 440 485 640 692 704 776 865 880 970 1067 1384 1408 1552 1730 1760 1903 1940 2134 2768 3104 3460 3520 3806 3880 4268 5335 5536 6208 6920 7040 7612 7760 8536 9515 10670 11072 12416 13840 15224 15520 16781 17072 19030 21340 22144 27680 30448 31040 33562 34144 38060 42680 55360 60896 62080 67124 68288 76120 83905 85360 110720 121792 134248 136576 152240 167810 170720 184591 243584 268496 304480 335620 341440 369182 536992 608960 671240 682880 738364 922955 1073984 1217920 1342480 1476728 1845910 2147968 2684960 2953456 3691820 5369920 5906912 7383640 10739840 11813824 14767280 23627648 29534560 59069120 118138240