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12747042 = 23271117541
BaseRepresentation
bin110000101000…
…000100100010
3212222121122200
4300220010202
511230401132
61133114030
7213230250
oct60500442
925877580
1012747042
117217050
124328916
132844039
14199b5d0
1511bbd7c
hexc28122

12747042 has 96 divisors (see below), whose sum is σ = 36526464. Its totient is φ = 3110400.

The previous prime is 12747029. The next prime is 12747047. The reversal of 12747042 is 24074721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12746997 and 12747015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12747047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23292 + ... + 23832.

It is an arithmetic number, because the mean of its divisors is an integer number (380484).

Almost surely, 212747042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12747042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263232).

12747042 is an abundant number, since it is smaller than the sum of its proper divisors (23779422).

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

12747042 is a wasteful number, since it uses less digits than its factorization.

12747042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 12747042 is about 3570.2999873960. The cubic root of 12747042 is about 233.5983686827.

The spelling of 12747042 in words is "twelve million, seven hundred forty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 541 561 693 714 1071 1082 1122 1309 1386 1623 1683 2142 2618 3246 3366 3787 3927 4869 5951 7574 7854 9197 9738 11361 11781 11902 17853 18394 22722 23562 27591 34083 35706 41657 53559 55182 64379 68166 82773 83314 101167 107118 124971 128758 165546 193137 202334 249942 303501 374913 386274 579411 607002 708169 749826 910503 1158822 1416338 1821006 2124507 4249014 6373521 12747042