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12701988 = 22331383109
BaseRepresentation
bin110000011101…
…000100100100
3212220022212000
4300131010210
511222430423
61132125300
7212652015
oct60350444
925808760
1012701988
117196212
124306830
132829690
14198900c
1511ad843
hexc1d124

12701988 has 96 divisors (see below), whose sum is σ = 36220800. Its totient is φ = 3825792.

The previous prime is 12701981. The next prime is 12701993. The reversal of 12701988 is 88910721.

It is a super-2 number, since 2×127019882 = 322680998304288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12701981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116478 + ... + 116586.

It is an arithmetic number, because the mean of its divisors is an integer number (377300).

Almost surely, 212701988 is an apocalyptic number.

12701988 is a gapful number since it is divisible by the number (18) 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 12701988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110400).

12701988 is an abundant number, since it is smaller than the sum of its proper divisors (23518812).

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

12701988 is a wasteful number, since it uses less digits than its factorization.

12701988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12701988 is about 3563.9848484526. The cubic root of 12701988 is about 233.3228285520.

It can be divided in two parts, 12701 and 988, that added together give a square (13689 = 1172).

The spelling of 12701988 in words is "twelve million, seven hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 109 117 156 166 218 234 249 327 332 351 436 468 498 654 702 747 981 996 1079 1308 1404 1417 1494 1962 2158 2241 2834 2943 2988 3237 3924 4251 4316 4482 5668 5886 6474 8502 8964 9047 9711 11772 12753 12948 17004 18094 19422 25506 27141 29133 36188 38259 38844 51012 54282 58266 76518 81423 108564 116532 117611 153036 162846 235222 244269 325692 352833 470444 488538 705666 977076 1058499 1411332 2116998 3175497 4233996 6350994 12701988