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130124640 = 2535419647
BaseRepresentation
bin1111100000110…
…00101101100000
3100001212000110010
413300120231200
5231302442030
620525004520
73140020062
oct760305540
9301760403
10130124640
11674a7628
12376b3740
1320c60439
14133d3732
15b6556b0
hex7c18b60

130124640 has 96 divisors (see below), whose sum is σ = 411505920. Its totient is φ = 34563584.

The previous prime is 130124609. The next prime is 130124641. The reversal of 130124640 is 46421031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130124641) 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, 200797 + ... + 201443.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2130124640 is an apocalyptic number.

130124640 is a gapful number since it is divisible by the number (10) 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 130124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

130124640 is an abundant number, since it is smaller than the sum of its proper divisors (281381280).

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

130124640 is a wasteful number, since it uses less digits than its factorization.

130124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130124640 is about 11407.2187670790. The cubic root of 130124640 is about 506.7415478738.

Adding to 130124640 its reverse (46421031), we get a palindrome (176545671).

The spelling of 130124640 in words is "one hundred thirty million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 419 480 647 838 1257 1294 1676 1941 2095 2514 2588 3235 3352 3882 4190 5028 5176 6285 6470 6704 7764 8380 9705 10056 10352 12570 12940 13408 15528 16760 19410 20112 20704 25140 25880 31056 33520 38820 40224 50280 51760 62112 67040 77640 100560 103520 155280 201120 271093 310560 542186 813279 1084372 1355465 1626558 2168744 2710930 3253116 4066395 4337488 5421860 6506232 8132790 8674976 10843720 13012464 16265580 21687440 26024928 32531160 43374880 65062320 130124640