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114595040 = 2557102317
BaseRepresentation
bin1101101010010…
…01010011100000
321222122000211202
412311021103200
5213314020130
615212100332
72561020220
oct665112340
9258560752
10114595040
115975aa4a
12324646a8
131a983a21
1411310080
15a0d9145
hex6d494e0

114595040 has 48 divisors (see below), whose sum is σ = 309409632. Its totient is φ = 39289344.

The previous prime is 114595009. The next prime is 114595057. The reversal of 114595040 is 40595411.

It is a junction number, because it is equal to n+sod(n) for n = 114594994 and 114595012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50039 + ... + 52278.

It is an arithmetic number, because the mean of its divisors is an integer number (6446034).

Almost surely, 2114595040 is an apocalyptic number.

114595040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114595040 is an abundant number, since it is smaller than the sum of its proper divisors (194814592).

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

114595040 is a wasteful number, since it uses less digits than its factorization.

114595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102339 (or 102331 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 114595040 is about 10704.9072859133. The cubic root of 114595040 is about 485.7229308067.

The spelling of 114595040 in words is "one hundred fourteen million, five hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 102317 204634 409268 511585 716219 818536 1023170 1432438 1637072 2046340 2864876 3274144 3581095 4092680 5729752 7162190 8185360 11459504 14324380 16370720 22919008 28648760 57297520 114595040