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134093648 = 24133371913
BaseRepresentation
bin1111111111000…
…01101101010000
3100100022122220102
413333201231100
5233311444043
621150031532
73215530403
oct777415520
9310278812
10134093648
11697685a7
1238aa85a8
1321a1cb70
1413b47d3a
15bb8b6b8
hex7fe1b50

134093648 has 40 divisors (see below), whose sum is σ = 280768488. Its totient is φ = 61673472.

The previous prime is 134093647. The next prime is 134093681. The reversal of 134093648 is 846390431.

It can be written as a sum of positive squares in 4 ways, for example, as 10705984 + 123387664 = 3272^2 + 11108^2 .

It is a super-2 number, since 2×1340936482 = 35962212867895808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134093647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69140 + ... + 71052.

Almost surely, 2134093648 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 134093648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140384244).

134093648 is an abundant number, since it is smaller than the sum of its proper divisors (146674840).

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

134093648 is a wasteful number, since it uses less digits than its factorization.

134093648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 134093648 is about 11579.8811738290. The cubic root of 134093648 is about 511.8421754765.

The spelling of 134093648 in words is "one hundred thirty-four million, ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 674 1348 1913 2696 3826 4381 5392 7652 8762 15304 17524 24869 30608 35048 49738 70096 99476 198952 397904 644681 1289362 2578724 5157448 8380853 10314896 16761706 33523412 67046824 134093648