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130124544 = 2831173211
BaseRepresentation
bin1111100000110…
…00101100000000
3100001212000022120
413300120230000
5231302441134
620525004240
73140016564
oct760305400
9301760276
10130124544
11674a7550
12376b3680
1320c60394
14133d36a4
15b655649
hex7c18b00

130124544 has 144 divisors (see below), whose sum is σ = 384795264. Its totient is φ = 38707200.

The previous prime is 130124543. The next prime is 130124573. The reversal of 130124544 is 445421031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130124543) 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, 616599 + ... + 616809.

Almost surely, 2130124544 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 130124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192397632).

130124544 is an abundant number, since it is smaller than the sum of its proper divisors (254670720).

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

130124544 is a wasteful number, since it uses less digits than its factorization.

130124544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 130124544 is about 11407.2145592165. The cubic root of 130124544 is about 506.7414232569.

Adding to 130124544 its reverse (445421031), we get a palindrome (575545575).

The spelling of 130124544 in words is "one hundred thirty million, one hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 211 219 256 264 292 352 384 422 438 528 584 633 704 768 803 844 876 1056 1168 1266 1408 1606 1688 1752 2112 2321 2336 2409 2532 2816 3212 3376 3504 4224 4642 4672 4818 5064 6424 6752 6963 7008 8448 9284 9344 9636 10128 12848 13504 13926 14016 15403 18568 18688 19272 20256 25696 27008 27852 28032 30806 37136 38544 40512 46209 51392 54016 55704 56064 61612 74272 77088 81024 92418 102784 111408 123224 148544 154176 162048 169433 184836 205568 222816 246448 297088 308352 338866 369672 445632 492896 508299 594176 616704 677732 739344 891264 985792 1016598 1355464 1478688 1782528 1971584 2033196 2710928 2957376 3943168 4066392 5421856 5914752 8132784 10843712 11829504 16265568 21687424 32531136 43374848 65062272 130124544