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115840192 = 2613375371
BaseRepresentation
bin1101110011110…
…01010011000000
322001222021212111
412321321103000
5214123341232
615254505104
72604424336
oct671712300
9261867774
10115840192
115a4304a6
1232965194
131accb6c0
1411555b56
15a283047
hex6e794c0

115840192 has 112 divisors (see below), whose sum is σ = 262688832. Its totient is φ = 50319360.

The previous prime is 115840189. The next prime is 115840201. The reversal of 115840192 is 291048511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631517 + ... + 1631587.

It is an arithmetic number, because the mean of its divisors is an integer number (2345436).

Almost surely, 2115840192 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 115840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131344416).

115840192 is an abundant number, since it is smaller than the sum of its proper divisors (146848640).

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

115840192 is a wasteful number, since it uses less digits than its factorization.

115840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 115840192 is about 10762.9081571850. The cubic root of 115840192 is about 487.4758324202.

The spelling of 115840192 in words is "one hundred fifteen million, eight hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 53 64 71 74 104 106 142 148 208 212 284 296 416 424 481 568 592 689 832 848 923 962 1136 1184 1378 1696 1846 1924 1961 2272 2368 2627 2756 3392 3692 3763 3848 3922 4544 5254 5512 7384 7526 7696 7844 10508 11024 14768 15052 15392 15688 21016 22048 25493 29536 30104 30784 31376 34151 42032 44096 48919 50986 59072 60208 62752 68302 84064 97838 101972 120416 125504 136604 139231 168128 195676 203944 240832 273208 278462 391352 407888 546416 556924 782704 815776 1092832 1113848 1565408 1631552 1810003 2185664 2227696 3130816 3620006 4455392 7240012 8910784 14480024 28960048 57920096 115840192