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130067730 = 232513195851
BaseRepresentation
bin1111100000010…
…10110100010010
3100001202010101100
413300022310102
5231244131410
620523445230
73136362132
oct760126422
9301663340
10130067730
11674688a1
1237686816
1320c40570
14133baac2
15b6438c0
hex7c0ad12

130067730 has 96 divisors (see below), whose sum is σ = 383423040. Its totient is φ = 30326400.

The previous prime is 130067701. The next prime is 130067771. The reversal of 130067730 is 37760031.

It is a super-2 number, since 2×1300677302 = 33835228774705800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130067694 and 130067703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19305 + ... + 25155.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2130067730 is an apocalyptic number.

130067730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130067730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191711520).

130067730 is an abundant number, since it is smaller than the sum of its proper divisors (253355310).

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

130067730 is a wasteful number, since it uses less digits than its factorization.

130067730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 130067730 is about 11404.7240212116. The cubic root of 130067730 is about 506.6676626442.

It can be divided in two parts, 13006 and 7730, that added together give a 4-th power (20736 = 124).

The spelling of 130067730 in words is "one hundred thirty million, sixty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 5851 7410 11115 11702 17553 22230 29255 35106 52659 58510 76063 87765 105318 111169 152126 175530 222338 228189 263295 333507 380315 456378 526590 555845 667014 684567 760630 1000521 1111690 1140945 1369134 1445197 1667535 2001042 2281890 2890394 3335070 3422835 4335591 5002605 6845670 7225985 8671182 10005210 13006773 14451970 21677955 26013546 43355910 65033865 130067730