Search a number
-
+
142256736 = 253471773
BaseRepresentation
bin10000111101010…
…10101001100000
3100220200101120000
420132222221200
5242404203421
622041020000
73345106446
oct1036525140
9326611500
10142256736
1173333656
123b784600
132361a5ab
1414c70b96
15c750226
hex87aaa60

142256736 has 120 divisors (see below), whose sum is σ = 424814544. Its totient is φ = 46690560.

The previous prime is 142256713. The next prime is 142256747. The reversal of 142256736 is 637652241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142256736.

It is a congruent number.

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, 183646 + ... + 184418.

Almost surely, 2142256736 is an apocalyptic number.

142256736 is a gapful number since it is divisible by the number (16) 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 142256736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212407272).

142256736 is an abundant number, since it is smaller than the sum of its proper divisors (282557808).

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

142256736 is an equidigital number, since it uses as much as digits as its factorization.

142256736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 142256736 is about 11927.1428263436. The cubic root of 142256736 is about 522.0245727632.

It can be divided in two parts, 14 and 2256736, that added together give a triangular number (2256750 = T2124).

The spelling of 142256736 in words is "one hundred forty-two million, two hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 773 852 864 1136 1278 1296 1546 1704 1917 2272 2319 2556 2592 3092 3408 3834 4638 5112 5751 6184 6816 6957 7668 9276 10224 11502 12368 13914 15336 18552 20448 20871 23004 24736 27828 30672 37104 41742 46008 54883 55656 61344 62613 74208 83484 92016 109766 111312 125226 164649 166968 184032 219532 222624 250452 329298 333936 439064 493947 500904 658596 667872 878128 987894 1001808 1317192 1481841 1756256 1975788 2003616 2634384 2963682 3951576 4445523 5268768 5927364 7903152 8891046 11854728 15806304 17782092 23709456 35564184 47418912 71128368 142256736