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130554984 = 233729127211
BaseRepresentation
bin1111100100000…
…01110001101000
3100002122212202210
413302001301220
5231410224414
620542125120
73143461530
oct762016150
9302585683
10130554984
116777098a
12378807a0
1321081291
14134a64c0
15b6dce59
hex7c81c68

130554984 has 128 divisors (see below), whose sum is σ = 390758400. Its totient is φ = 35562240.

The previous prime is 130554979. The next prime is 130555003. The reversal of 130554984 is 489455031.

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, 618639 + ... + 618849.

It is an arithmetic number, because the mean of its divisors is an integer number (3052800).

Almost surely, 2130554984 is an apocalyptic number.

130554984 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 130554984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195379200).

130554984 is an abundant number, since it is smaller than the sum of its proper divisors (260203416).

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

130554984 is a wasteful number, since it uses less digits than its factorization.

130554984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 130554984 is about 11426.0659896572. The cubic root of 130554984 is about 507.2995595972.

The spelling of 130554984 in words is "one hundred thirty million, five hundred fifty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 127 168 174 203 211 232 254 348 381 406 422 508 609 633 696 762 812 844 889 1016 1218 1266 1477 1524 1624 1688 1778 2436 2532 2667 2954 3048 3556 3683 4431 4872 5064 5334 5908 6119 7112 7366 8862 10668 11049 11816 12238 14732 17724 18357 21336 22098 24476 25781 26797 29464 35448 36714 42833 44196 48952 51562 53594 73428 77343 80391 85666 88392 103124 107188 128499 146856 154686 160782 171332 187579 206248 214376 256998 309372 321564 342664 375158 513996 562737 618744 643128 750316 777113 1027992 1125474 1500632 1554226 2250948 2331339 3108452 4501896 4662678 5439791 6216904 9325356 10879582 16319373 18650712 21759164 32638746 43518328 65277492 130554984