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181207040 = 2165779
BaseRepresentation
bin10101100110100…
…00000000000000
3110121222021022212
422303100000000
5332342111130
625551521252
74330143260
oct1263200000
9417867285
10181207040
1193317593
1250829228
132b707401
141a0cd7a0
1510d95e95
hexacd0000

181207040 has 136 divisors (see below), whose sum is σ = 503312640. Its totient is φ = 61341696.

The previous prime is 181207021. The next prime is 181207067. The reversal of 181207040 is 40702181.

It is a junction number, because it is equal to n+sod(n) for n = 181206997 and 181207015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293721 + ... + 2293799.

Almost surely, 2181207040 is an apocalyptic number.

181207040 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 181207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251656320).

181207040 is an abundant number, since it is smaller than the sum of its proper divisors (322105600).

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

181207040 is an frugal number, since it uses more digits than its factorization.

181207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 181207040 is about 13461.3164289381. The cubic root of 181207040 is about 565.8808824233.

The spelling of 181207040 in words is "one hundred eighty-one million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 256 280 316 320 395 448 512 553 560 632 640 790 896 1024 1106 1120 1264 1280 1580 1792 2048 2212 2240 2528 2560 2765 3160 3584 4096 4424 4480 5056 5120 5530 6320 7168 8192 8848 8960 10112 10240 11060 12640 14336 16384 17696 17920 20224 20480 22120 25280 28672 32768 35392 35840 40448 40960 44240 50560 57344 65536 70784 71680 80896 81920 88480 101120 114688 141568 143360 161792 163840 176960 202240 229376 283136 286720 323584 327680 353920 404480 458752 566272 573440 647168 707840 808960 1132544 1146880 1294336 1415680 1617920 2265088 2293760 2588672 2831360 3235840 4530176 5177344 5662720 6471680 9060352 11325440 12943360 18120704 22650880 25886720 36241408 45301760 90603520 181207040