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130263696 = 243219471013
BaseRepresentation
bin1111100001110…
…10101010010000
3100002010002012100
413300322222100
5231321414241
620532000400
73141136353
oct760725220
9302102170
10130263696
1167592052
1237760100
1320cab814
141342c29a
15b6819b6
hex7c3aa90

130263696 has 120 divisors (see below), whose sum is σ = 392296320. Its totient is φ = 40220928.

The previous prime is 130263691. The next prime is 130263703. The reversal of 130263696 is 696362031.

130263696 is a `hidden beast` number, since 13 + 0 + 2 + 636 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130263696.

It is not an unprimeable number, because it can be changed into a prime (130263691) 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, 128086 + ... + 129098.

It is an arithmetic number, because the mean of its divisors is an integer number (3269136).

Almost surely, 2130263696 is an apocalyptic number.

130263696 is a gapful number since it is divisible by the number (16) 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 130263696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196148160).

130263696 is an abundant number, since it is smaller than the sum of its proper divisors (262032624).

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

130263696 is a wasteful number, since it uses less digits than its factorization.

130263696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 130263696 is about 11413.3122273948. The cubic root of 130263696 is about 506.9219911957.

The spelling of 130263696 in words is "one hundred thirty million, two hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 114 141 144 152 171 188 228 282 304 342 376 423 456 564 684 752 846 893 912 1013 1128 1368 1692 1786 2026 2256 2679 2736 3039 3384 3572 4052 5358 6078 6768 7144 8037 8104 9117 10716 12156 14288 16074 16208 18234 19247 21432 24312 32148 36468 38494 42864 47611 48624 57741 64296 72936 76988 95222 115482 128592 142833 145872 153976 173223 190444 230964 285666 307952 346446 380888 428499 461928 571332 692892 761776 856998 904609 923856 1142664 1385784 1713996 1809218 2285328 2713827 2771568 3427992 3618436 5427654 6855984 7236872 8141481 10855308 14473744 16282962 21710616 32565924 43421232 65131848 130263696