Search a number
-
+
115699920 = 24357611129
BaseRepresentation
bin1101110010101…
…11000011010000
322001201011110020
412321113003100
5214104344140
615251503440
72603301360
oct671270320
9261634406
10115699920
115a345076
12328b7b80
131ac7c8bb
141151a9a0
15a2566d0
hex6e570d0

115699920 has 160 divisors (see below), whose sum is σ = 416997120. Its totient is φ = 25989120.

The previous prime is 115699907. The next prime is 115699931. The reversal of 115699920 is 29996511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 101916 + ... + 103044.

It is an arithmetic number, because the mean of its divisors is an integer number (2606232).

Almost surely, 2115699920 is an apocalyptic number.

115699920 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 115699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208498560).

115699920 is an abundant number, since it is smaller than the sum of its proper divisors (301297200).

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

115699920 is a wasteful number, since it uses less digits than its factorization.

115699920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 115699920 is about 10756.3897289007. The cubic root of 115699920 is about 487.2789898916.

The spelling of 115699920 in words is "one hundred fifteen million, six hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1129 1220 1281 1464 1680 1708 1830 2135 2258 2440 2562 2928 3387 3416 3660 4270 4516 4880 5124 5645 6405 6774 6832 7320 7903 8540 9032 10248 11290 12810 13548 14640 15806 16935 17080 18064 20496 22580 23709 25620 27096 31612 33870 34160 39515 45160 47418 51240 54192 63224 67740 68869 79030 90320 94836 102480 118545 126448 135480 137738 158060 189672 206607 237090 270960 275476 316120 344345 379344 413214 474180 482083 550952 632240 688690 826428 948360 964166 1033035 1101904 1377380 1446249 1652856 1896720 1928332 2066070 2410415 2754760 2892498 3305712 3856664 4132140 4820830 5509520 5784996 7231245 7713328 8264280 9641660 11569992 14462490 16528560 19283320 23139984 28924980 38566640 57849960 115699920