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114155340 = 223513178609
BaseRepresentation
bin1101100110111…
…01111101001100
321221210200200120
412303131331030
5213210432330
615154424540
72554206255
oct663357514
9257720616
10114155340
115948a662
1232292150
131a85b850
1411237b2c
15a04dc10
hex6cddf4c

114155340 has 96 divisors (see below), whose sum is σ = 364512960. Its totient is φ = 26443776.

The previous prime is 114155333. The next prime is 114155359. The reversal of 114155340 is 43551411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114155340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8956 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (3797010).

Almost surely, 2114155340 is an apocalyptic number.

114155340 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 114155340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182256480).

114155340 is an abundant number, since it is smaller than the sum of its proper divisors (250357620).

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

114155340 is a wasteful number, since it uses less digits than its factorization.

114155340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 114155340 is about 10684.3502376139. The cubic root of 114155340 is about 485.1008965698.

The spelling of 114155340 in words is "one hundred fourteen million, one hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 8609 13260 17218 25827 34436 43045 51654 86090 103308 111917 129135 146353 172180 223834 258270 292706 335751 439059 447668 516540 559585 585412 671502 731765 878118 1119170 1343004 1463530 1678755 1756236 1902589 2195295 2238340 2927060 3357510 3805178 4390590 5707767 6715020 7610356 8781180 9512945 11415534 19025890 22831068 28538835 38051780 57077670 114155340