Search a number
-
+
11840934000 = 243537281927
BaseRepresentation
bin10110000011100011…
…00101000001110000
31010120012210202211010
423001301211001300
5143222234342000
65234544150520
7566300164320
oct130161450160
933505722733
1011840934000
115026997a75
122365608440
13116921022c
14804853280
154947eed50
hex2c1c65070

11840934000 has 160 divisors (see below), whose sum is σ = 43628921856. Its totient is φ = 2706489600.

The previous prime is 11840933989. The next prime is 11840934011. The reversal of 11840934000 is 43904811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11840933989) and next prime (11840934011).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 98964 + ... + 182963.

Almost surely, 211840934000 is an apocalyptic number.

11840934000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11840934000 is an abundant number, since it is smaller than the sum of its proper divisors (31787987856).

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

11840934000 is a wasteful number, since it uses less digits than its factorization.

11840934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281960 (or 281944 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 11840934000 in words is "eleven billion, eight hundred forty million, nine hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 281927 563854 845781 1127708 1409635 1691562 1973489 2255416 2819270 3383124 3946978 4228905 4510832 5638540 5920467 6766248 7048175 7893956 8457810 9867445 11277080 11840934 13532496 14096350 15787912 16915620 19734890 21144525 22554160 23681868 28192700 29602335 31575824 33831240 35240875 39469780 42289050 47363736 49337225 56385400 59204670 67662480 70481750 78939560 84578100 94727472 98674450 105722625 112770800 118409340 140963500 148011675 157879120 169156200 197348900 211445250 236818680 246686125 281927000 296023350 338312400 394697800 422890500 473637360 493372250 563854000 592046700 740058375 789395600 845781000 986744500 1184093400 1480116750 1691562000 1973489000 2368186800 2960233500 3946978000 5920467000 11840934000