Search a number
-
+
135714996 = 223223612687
BaseRepresentation
bin10000001011011…
…01100010110100
3100110101000222100
420011231202310
5234220334441
621244502100
73235362354
oct1005554264
9313330870
10135714996
116a67575a
123954a930
1322169b41
141404ab64
15bdabcb6
hex816d8b4

135714996 has 72 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 42546240.

The previous prime is 135714979. The next prime is 135715007. The reversal of 135714996 is 699417531.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49165 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2135714996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135714996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

135714996 is an abundant number, since it is smaller than the sum of its proper divisors (228261708).

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

135714996 is a wasteful number, since it uses less digits than its factorization.

135714996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2776 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 135714996 is about 11649.6779354624. The cubic root of 135714996 is about 513.8968386990.

The spelling of 135714996 in words is "one hundred thirty-five million, seven hundred fourteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 732 828 1098 1403 2196 2687 2806 4209 5374 5612 8061 8418 10748 12627 16122 16836 24183 25254 32244 48366 50508 61801 96732 123602 163907 185403 247204 327814 370806 491721 556209 655628 741612 983442 1112418 1475163 1966884 2224836 2950326 3769861 5900652 7539722 11309583 15079444 22619166 33928749 45238332 67857498 135714996