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130919082 = 237219231019
BaseRepresentation
bin1111100110110…
…10101010101010
3100010100101012220
413303122222222
5232003402312
620554014510
73146536200
oct763325252
9303311186
10130919082
116799a498
1237a17436
132117ac18
141355d070
15b760c8c
hex7cdaaaa

130919082 has 96 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 33862752.

The previous prime is 130919081. The next prime is 130919083. The reversal of 130919082 is 280919031.

It is an interprime number because it is at equal distance from previous prime (130919081) and next prime (130919083).

It is not an unprimeable number, because it can be changed into a prime (130919081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127969 + ... + 128987.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2130919082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130919082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

130919082 is an abundant number, since it is smaller than the sum of its proper divisors (203967318).

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

130919082 is a wasteful number, since it uses less digits than its factorization.

130919082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 130919082 is about 11441.9876769729. The cubic root of 130919082 is about 507.7707156537.

The spelling of 130919082 in words is "one hundred thirty million, nine hundred nineteen thousand, eighty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 49 57 69 98 114 133 138 147 161 266 294 322 399 437 483 798 874 931 966 1019 1127 1311 1862 2038 2254 2622 2793 3057 3059 3381 5586 6114 6118 6762 7133 9177 14266 18354 19361 21399 21413 23437 38722 42798 42826 46874 49931 58083 64239 70311 99862 116166 128478 135527 140622 149793 164059 271054 299586 328118 406581 445303 492177 813162 890606 948689 984354 1148413 1335909 1897378 2296826 2671818 2846067 3117121 3445239 5692134 6234242 6890478 9351363 18702726 21819847 43639694 65459541 130919082