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136024002 = 23319233569
BaseRepresentation
bin10000001101110…
…00111111000010
3100110221201212000
420012320333002
5234310232002
621255244430
73241120302
oct1006707702
9313851760
10136024002
116a866934
1239679716
132224769a
14140cb602
15be1d61c
hex81b8fc2

136024002 has 64 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 42695424.

The previous prime is 136023997. The next prime is 136024013. The reversal of 136024002 is 200420631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238774 + ... + 239342.

It is an arithmetic number, because the mean of its divisors is an integer number (5001750).

Almost surely, 2136024002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136024002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

136024002 is an abundant number, since it is smaller than the sum of its proper divisors (184087998).

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

136024002 is a wasteful number, since it uses less digits than its factorization.

136024002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136024002 is about 11662.9328215505. The cubic root of 136024002 is about 514.2865692446.

Adding to 136024002 its reverse (200420631), we get a palindrome (336444633).

The spelling of 136024002 in words is "one hundred thirty-six million, twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 233 342 466 513 569 699 1026 1138 1398 1707 2097 3414 4194 4427 5121 6291 8854 10242 10811 12582 13281 15363 21622 26562 30726 32433 39843 64866 79686 97299 119529 132577 194598 239058 265154 291897 397731 583794 795462 1193193 2386386 2518963 3579579 5037926 7159158 7556889 15113778 22670667 45341334 68012001 136024002