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12731742 = 235172367
BaseRepresentation
bin110000100100…
…010101011110
3212221211200000
4300210111132
511224403432
61132515130
7213134532
oct60442536
925854600
1012731742
117206601
12431baa6
13283a09a
141995bc2
1511b757c
hexc2455e

12731742 has 96 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 3763584.

The previous prime is 12731723. The next prime is 12731743. The reversal of 12731742 is 24713721.

It is a happy number.

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

Its product of digits (2352) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12731743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 189993 + ... + 190059.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 212731742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12731742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

12731742 is an abundant number, since it is smaller than the sum of its proper divisors (19346850).

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

12731742 is a wasteful number, since it uses less digits than its factorization.

12731742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12731742 is about 3568.1566669641. The cubic root of 12731742 is about 233.5048702342.

The spelling of 12731742 in words is "twelve million, seven hundred thirty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 67 69 81 102 134 138 153 162 201 207 243 306 391 402 414 459 486 603 621 782 918 1139 1173 1206 1242 1377 1541 1809 1863 2278 2346 2754 3082 3417 3519 3618 3726 4131 4623 5427 5589 6834 7038 8262 9246 10251 10557 10854 11178 13869 16281 20502 21114 26197 27738 30753 31671 32562 41607 52394 61506 63342 78591 83214 92259 95013 124821 157182 184518 190026 235773 249642 276777 374463 471546 553554 707319 748926 1414638 2121957 4243914 6365871 12731742