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112700742 = 237111937347
BaseRepresentation
bin1101011011110…
…10110101000110
321212001210100120
412231322311012
5212322410432
615103322410
72535640410
oct655726506
9255053316
10112700742
1158686810
12318b0406
131a46c73b
1410d799b0
159d62c2c
hex6b7ad46

112700742 has 128 divisors (see below), whose sum is σ = 304680960. Its totient is φ = 26904960.

The previous prime is 112700683. The next prime is 112700771. The reversal of 112700742 is 247007211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324613 + ... + 324959.

It is an arithmetic number, because the mean of its divisors is an integer number (2380320).

Almost surely, 2112700742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112700742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152340480).

112700742 is an abundant number, since it is smaller than the sum of its proper divisors (191980218).

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

112700742 is a wasteful number, since it uses less digits than its factorization.

112700742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 112700742 is about 10616.0605687797. The cubic root of 112700742 is about 483.0316539401.

Adding to 112700742 its reverse (247007211), we get a palindrome (359707953).

The spelling of 112700742 in words is "one hundred twelve million, seven hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 37 38 42 57 66 74 77 111 114 133 154 209 222 231 259 266 347 399 407 418 462 518 627 694 703 777 798 814 1041 1221 1254 1406 1463 1554 2082 2109 2429 2442 2849 2926 3817 4218 4389 4858 4921 5698 6593 7287 7634 7733 8547 8778 9842 11451 12839 13186 14574 14763 15466 17094 19779 22902 23199 25678 26719 29526 38517 39558 46151 46398 53438 54131 72523 77034 80157 89873 92302 108262 138453 141229 145046 160314 162393 179746 217569 243941 269619 276906 282458 324786 423687 435138 487882 507661 539238 731823 847374 988603 1015322 1463646 1522983 1707587 1977206 2683351 2965809 3045966 3415174 5122761 5366702 5931618 8050053 10245522 16100106 18783457 37566914 56350371 112700742