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115355340 = 22345312297
BaseRepresentation
bin1101110000000…
…10111011001100
322001001122210000
412320002323030
5214012332330
615240244300
72600334642
oct670027314
9261048700
10115355340
115a12a1a1
1232770690
131ab8bac9
141146b192
15a1d9560
hex6e02ecc

115355340 has 120 divisors (see below), whose sum is σ = 373709952. Its totient is φ = 29756160.

The previous prime is 115355329. The next prime is 115355351. The reversal of 115355340 is 43553511.

It is an interprime number because it is at equal distance from previous prime (115355329) and next prime (115355351).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 49072 + ... + 51368.

Almost surely, 2115355340 is an apocalyptic number.

115355340 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 115355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186854976).

115355340 is an abundant number, since it is smaller than the sum of its proper divisors (258354612).

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

115355340 is a wasteful number, since it uses less digits than its factorization.

115355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 115355340 is about 10740.3603291510. The cubic root of 115355340 is about 486.7947672625.

The spelling of 115355340 in words is "one hundred fifteen million, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2297 2511 2790 3348 4185 4594 5022 5580 6891 8370 9188 10044 11485 12555 13782 16740 20673 22970 25110 27564 34455 41346 45940 50220 62019 68910 71207 82692 103365 124038 137820 142414 186057 206730 213621 248076 284828 310095 356035 372114 413460 427242 620190 640863 712070 744228 854484 930285 1068105 1240380 1281726 1424140 1860570 1922589 2136210 2563452 3204315 3721140 3845178 4272420 5767767 6408630 7690356 9612945 11535534 12817260 19225890 23071068 28838835 38451780 57677670 115355340