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114535500 = 22353292633
BaseRepresentation
bin1101101001110…
…10110001001100
321222112000011120
412310322301030
5213310114000
615210520540
72560351512
oct664726114
9258460146
10114535500
115971a242
1232436150
131a9628b1
14112d64b2
15a0c66a0
hex6d3ac4c

114535500 has 96 divisors (see below), whose sum is σ = 345159360. Its totient is φ = 29478400.

The previous prime is 114535493. The next prime is 114535501. The reversal of 114535500 is 5535411.

It is not an unprimeable number, because it can be changed into a prime (114535501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42184 + ... + 44816.

It is an arithmetic number, because the mean of its divisors is an integer number (3595410).

Almost surely, 2114535500 is an apocalyptic number.

114535500 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 114535500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172579680).

114535500 is an abundant number, since it is smaller than the sum of its proper divisors (230623860).

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

114535500 is a wasteful number, since it uses less digits than its factorization.

114535500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 114535500 is about 10702.1259570237. The cubic root of 114535500 is about 485.6387940838.

The spelling of 114535500 in words is "one hundred fourteen million, five hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2633 2900 3625 4350 5266 7250 7899 8700 10532 10875 13165 14500 15798 21750 26330 31596 39495 43500 52660 65825 76357 78990 131650 152714 157980 197475 229071 263300 305428 329125 381785 394950 458142 658250 763570 789900 916284 987375 1145355 1316500 1527140 1908925 1974750 2290710 3817850 3949500 4581420 5726775 7635700 9544625 11453550 19089250 22907100 28633875 38178500 57267750 114535500