[go: up one dir, main page]

Search a number
-
+
12699120 = 243577559
BaseRepresentation
bin110000011100…
…010111110000
3212220011220210
4300130113300
511222332440
61132104120
7212640450
oct60342760
925804823
1012699120
117194045
124305040
132828295
141987d60
1511aca80
hexc1c5f0

12699120 has 80 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2902272.

The previous prime is 12699107. The next prime is 12699133. The reversal of 12699120 is 2199621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12699107) and next prime (12699133).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126991202 = 322535297548800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 212699120 is an apocalyptic number.

12699120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12699120 is an abundant number, since it is smaller than the sum of its proper divisors (32298000).

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

12699120 is a wasteful number, since it uses less digits than its factorization.

12699120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 12699120 is about 3563.5824671249. The cubic root of 12699120 is about 233.3052664653.

The spelling of 12699120 in words is "twelve million, six hundred ninety-nine thousand, one 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 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7559 15118 22677 30236 37795 45354 52913 60472 75590 90708 105826 113385 120944 151180 158739 181416 211652 226770 264565 302360 317478 362832 423304 453540 529130 604720 634956 793695 846608 907080 1058260 1269912 1587390 1814160 2116520 2539824 3174780 4233040 6349560 12699120