[go: up one dir, main page]

Search a number
-
+
12701196 = 22321931599
BaseRepresentation
bin110000011100…
…111000001100
3212220021202200
4300130320030
511222414241
61132121500
7212646504
oct60347014
925807680
1012701196
117195662
124306290
132829201
141988a04
1511ad4b6
hexc1ce0c

12701196 has 72 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 3875040.

The previous prime is 12701191. The next prime is 12701203. The reversal of 12701196 is 69110721.

It is a super-2 number, since 2×127011962 = 322640759660832, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12701191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20905 + ... + 21503.

Almost surely, 212701196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

12701196 is an abundant number, since it is smaller than the sum of its proper divisors (22242804).

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

12701196 is a wasteful number, since it uses less digits than its factorization.

12701196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 12701196 is about 3563.8737351371. The cubic root of 12701196 is about 233.3179790350.

The spelling of 12701196 in words is "twelve million, seven hundred one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 599 684 1116 1178 1198 1767 1797 2356 2396 3534 3594 5301 5391 7068 7188 10602 10782 11381 18569 21204 21564 22762 34143 37138 45524 55707 68286 74276 102429 111414 136572 167121 204858 222828 334242 352811 409716 668484 705622 1058433 1411244 2116866 3175299 4233732 6350598 12701196