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136341940 = 22571576203
BaseRepresentation
bin10000010000001…
…10100110110100
3100111112212222111
420020012212310
5234400420230
621310140404
73243613240
oct1010064664
9314485874
10136341940
116aa63799
12397b1704
1322329307
1414171420
15be8292a
hex82069b4

136341940 has 48 divisors (see below), whose sum is σ = 329357952. Its totient is φ = 46440576.

The previous prime is 136341911. The next prime is 136341943. The reversal of 136341940 is 49143631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136341943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18879 + ... + 25081.

It is an arithmetic number, because the mean of its divisors is an integer number (6861624).

Almost surely, 2136341940 is an apocalyptic number.

136341940 is a gapful number since it is divisible by the number (10) 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 136341940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164678976).

136341940 is an abundant number, since it is smaller than the sum of its proper divisors (193016012).

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

136341940 is a wasteful number, since it uses less digits than its factorization.

136341940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 136341940 is about 11676.5551426780. Note that the first 3 decimals coincide. The cubic root of 136341940 is about 514.6869495960.

The spelling of 136341940 in words is "one hundred thirty-six million, three hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3140 4396 5495 6203 10990 12406 21980 24812 31015 43421 62030 86842 124060 173684 217105 434210 868420 973871 1947742 3895484 4869355 6817097 9738710 13634194 19477420 27268388 34085485 68170970 136341940