Search a number
-
+
12701772 = 2234197199
BaseRepresentation
bin110000011101…
…000001001100
3212220022120000
4300131001030
511222424042
61132124300
7212651256
oct60350114
925808500
1012701772
117196036
124306690
132829555
141988cd6
1511ad74c
hexc1d04c

12701772 has 60 divisors (see below), whose sum is σ = 33541200. Its totient is φ = 4191264.

The previous prime is 12701729. The next prime is 12701783. The reversal of 12701772 is 27710721.

It is a super-2 number, since 2×127017722 = 322670023879968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63729 + ... + 63927.

It is an arithmetic number, because the mean of its divisors is an integer number (559020).

Almost surely, 212701772 is an apocalyptic number.

12701772 is a gapful number since it is divisible by the number (12) 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 12701772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770600).

12701772 is an abundant number, since it is smaller than the sum of its proper divisors (20839428).

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

12701772 is a wasteful number, since it uses less digits than its factorization.

12701772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 12701772 is about 3563.9545451647. The cubic root of 12701772 is about 233.3215059765.

The spelling of 12701772 in words is "twelve million, seven hundred one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 199 324 394 398 591 597 788 796 1182 1194 1773 1791 2364 2388 3546 3582 5319 5373 7092 7164 10638 10746 15957 16119 21276 21492 31914 32238 39203 63828 64476 78406 117609 156812 235218 352827 470436 705654 1058481 1411308 2116962 3175443 4233924 6350886 12701772