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130949784 = 233579623
BaseRepresentation
bin1111100111000…
…10001010011000
3100010101221100000
413303202022120
5232010343114
620554413000
73150024540
oct763421230
9303357300
10130949784
1167a10569
1237a31160
132118bba4
141356a320
15b769e09
hex7ce2298

130949784 has 96 divisors (see below), whose sum is σ = 420376320. Its totient is φ = 37410336.

The previous prime is 130949779. The next prime is 130949789. The reversal of 130949784 is 487949031.

It is an interprime number because it is at equal distance from previous prime (130949779) and next prime (130949789).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130949789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8797 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (4378920).

Almost surely, 2130949784 is an apocalyptic number.

130949784 is a gapful number since it is divisible by the number (14) 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 130949784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210188160).

130949784 is an abundant number, since it is smaller than the sum of its proper divisors (289426536).

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

130949784 is an equidigital number, since it uses as much as digits as its factorization.

130949784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 130949784 is about 11443.3292358474. The cubic root of 130949784 is about 507.8104052029.

The spelling of 130949784 in words is "one hundred thirty million, nine hundred forty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 9623 13608 19246 28869 38492 57738 67361 76984 86607 115476 134722 173214 202083 230952 259821 269444 346428 404166 519642 538888 606249 692856 779463 808332 1039284 1212498 1558926 1616664 1818747 2078568 2338389 2424996 3117852 3637494 4676778 4849992 5456241 6235704 7274988 9353556 10912482 14549976 16368723 18707112 21824964 32737446 43649928 65474892 130949784