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130939956 = 223372109227
BaseRepresentation
bin1111100110111…
…11110000110100
3100010101102212000
413303133300310
5232010034311
620554255300
73146654100
oct763376064
9303342760
10130939956
1167a04144
1237a27530
1321187584
1413566900
15b767056
hex7cdfc34

130939956 has 144 divisors (see below), whose sum is σ = 400276800. Its totient is φ = 36904896.

The previous prime is 130939951. The next prime is 130939961. The reversal of 130939956 is 659939031.

It is an interprime number because it is at equal distance from previous prime (130939951) and next prime (130939961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130939951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576715 + ... + 576941.

It is an arithmetic number, because the mean of its divisors is an integer number (2779700).

Almost surely, 2130939956 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 130939956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200138400).

130939956 is an abundant number, since it is smaller than the sum of its proper divisors (269336844).

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

130939956 is a wasteful number, since it uses less digits than its factorization.

130939956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 130939956 is about 11442.8998073041. The cubic root of 130939956 is about 507.7977008787.

The spelling of 130939956 in words is "one hundred thirty million, nine hundred thirty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 109 126 147 189 196 218 227 252 294 327 378 436 441 454 588 654 681 756 763 882 908 981 1308 1323 1362 1526 1589 1764 1962 2043 2289 2646 2724 2943 3052 3178 3924 4086 4578 4767 5292 5341 5886 6129 6356 6867 8172 9156 9534 10682 11123 11772 12258 13734 14301 16023 19068 20601 21364 22246 24516 24743 27468 28602 32046 33369 41202 42903 44492 48069 49486 57204 64092 66738 74229 82404 85806 96138 98972 100107 133476 144207 148458 171612 173201 192276 200214 222687 288414 296916 300321 346402 400428 445374 519603 576828 600642 668061 692804 890748 1039206 1201284 1212407 1336122 1558809 2078412 2424814 2672244 3117618 3637221 4676427 4849628 6235236 7274442 9352854 10911663 14548884 18705708 21823326 32734989 43646652 65469978 130939956