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130156544 = 211721297
BaseRepresentation
bin1111100001000…
…00100000000000
3100001220122012202
413300200200000
5231310002134
620525412332
73140212100
oct760404000
9301818182
10130156544
11675195a1
123770a0a8
1320c71b0b
1413401200
15b65ed7e
hex7c20800

130156544 has 72 divisors (see below), whose sum is σ = 302972670. Its totient is φ = 55738368.

The previous prime is 130156541. The next prime is 130156549. The reversal of 130156544 is 445651031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68690944 + 61465600 = 8288^2 + 7840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130156541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99704 + ... + 101000.

Almost surely, 2130156544 is an apocalyptic number.

130156544 is a gapful number since it is divisible by the number (14) 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 130156544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151486335).

130156544 is an abundant number, since it is smaller than the sum of its proper divisors (172816126).

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

130156544 is an equidigital number, since it uses as much as digits as its factorization.

130156544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 130156544 is about 11408.6170941092. The cubic root of 130156544 is about 506.7829588401.

The spelling of 130156544 in words is "one hundred thirty million, one hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1297 1568 1792 2048 2594 3136 3584 5188 6272 7168 9079 10376 12544 14336 18158 20752 25088 36316 41504 50176 63553 72632 83008 100352 127106 145264 166016 254212 290528 332032 508424 581056 664064 1016848 1162112 1328128 2033696 2324224 2656256 4067392 4648448 8134784 9296896 16269568 18593792 32539136 65078272 130156544