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142742736 = 2434831327
BaseRepresentation
bin10001000001000…
…01010011010000
3100221121002020000
420200201103100
5243020231421
622055250000
73352202403
oct1040412320
9327532200
10142742736
1173635804
123b979900
132375a876
1414d59d3a
15c7e9226
hex88214d0

142742736 has 100 divisors (see below), whose sum is σ = 418431552. Its totient is φ = 46972224.

The previous prime is 142742729. The next prime is 142742741. The reversal of 142742736 is 637247241.

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 142742736.

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, 106905 + ... + 108231.

Almost surely, 2142742736 is an apocalyptic number.

142742736 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 142742736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209215776).

142742736 is an abundant number, since it is smaller than the sum of its proper divisors (275688816).

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

142742736 is a wasteful number, since it uses less digits than its factorization.

142742736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1415 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 142742736 is about 11947.4991525423. The cubic root of 142742736 is about 522.6183714168.

Adding to 142742736 its reverse (637247241), we get a palindrome (779989977).

The spelling of 142742736 in words is "one hundred forty-two million, seven hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 664 747 996 1296 1327 1328 1494 1992 2241 2654 2988 3981 3984 4482 5308 5976 6723 7962 8964 10616 11943 11952 13446 15924 17928 21232 23886 26892 31848 35829 35856 47772 53784 63696 71658 95544 107487 107568 110141 143316 191088 214974 220282 286632 330423 429948 440564 573264 660846 859896 881128 991269 1321692 1719792 1762256 1982538 2643384 2973807 3965076 5286768 5947614 7930152 8921421 11895228 15860304 17842842 23790456 35685684 47580912 71371368 142742736