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136842496 = 287210909
BaseRepresentation
bin10000010100000…
…00110100000000
3100112111022121121
420022000310000
5240012424441
621325002024
73251066500
oct1012006400
9315438547
10136842496
117027587a
12399b3314
13224730bb
1414261a00
15c030dd1
hex8280d00

136842496 has 54 divisors (see below), whose sum is σ = 317775570. Its totient is φ = 58641408.

The previous prime is 136842493. The next prime is 136842499. The reversal of 136842496 is 694248631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136842493) and next prime (136842499).

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 35236096 = 10080^2 + 5936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136842491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7090 + ... + 17998.

Almost surely, 2136842496 is an apocalyptic number.

136842496 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 136842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158887785).

136842496 is an abundant number, since it is smaller than the sum of its proper divisors (180933074).

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

136842496 is an equidigital number, since it uses as much as digits as its factorization.

136842496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939 (or 10918 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 136842496 is about 11697.9697383777. The cubic root of 136842496 is about 515.3160419141.

The spelling of 136842496 in words is "one hundred thirty-six million, eight hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 10909 12544 21818 43636 76363 87272 152726 174544 305452 349088 534541 610904 698176 1069082 1221808 1396352 2138164 2443616 2792704 4276328 4887232 8552656 9774464 17105312 19548928 34210624 68421248 136842496