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130721420 = 225233189103
BaseRepresentation
bin1111100101010…
…10011010001100
3100002222100002002
413302222122030
5231431041140
620545451432
73145054004
oct762523214
9302870062
10130721420
1167874a35
1237940b78
132110bc6b
141350b004
15b722415
hex7caa68c

130721420 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 47393280.

The previous prime is 130721399. The next prime is 130721447. The reversal of 130721420 is 24127031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130721392 and 130721401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269089 + ... + 1269191.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2130721420 is an apocalyptic number.

130721420 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 130721420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

130721420 is an abundant number, since it is smaller than the sum of its proper divisors (171194740).

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

130721420 is a wasteful number, since it uses less digits than its factorization.

130721420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 130721420 is about 11433.3468415858. The cubic root of 130721420 is about 507.5150423846.

Adding to 130721420 its reverse (24127031), we get a palindrome (154848451).

The spelling of 130721420 in words is "one hundred thirty million, seven hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 89 92 103 115 124 155 178 206 230 310 356 412 445 460 515 620 713 890 1030 1426 1780 2047 2060 2369 2759 2852 3193 3565 4094 4738 5518 6386 7130 8188 9167 9476 10235 11036 11845 12772 13795 14260 15965 18334 20470 23690 27590 31930 36668 40940 45835 47380 55180 63457 63860 73439 91670 126914 146878 183340 210841 253828 284177 293756 317285 367195 421682 568354 634570 734390 843364 1054205 1136708 1269140 1420885 1468780 2108410 2841770 4216820 5683540 6536071 13072142 26144284 32680355 65360710 130721420