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130360428 = 22341179463
BaseRepresentation
bin1111100010100…
…10010001101100
3100002021222220000
413301102101230
5231333013203
620534024300
73142021362
oct761222154
9302258800
10130360428
11676487a0
12377a8090
1321013863
1413455632
15b6a04a3
hex7c5246c

130360428 has 120 divisors (see below), whose sum is σ = 377287680. Its totient is φ = 38918880.

The previous prime is 130360427. The next prime is 130360453. The reversal of 130360428 is 824063031.

It is a happy number.

130360428 is a `hidden beast` number, since 1 + 30 + 3 + 604 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130360427) 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 39 ways as a sum of consecutive naturals, for example, 281325 + ... + 281787.

It is an arithmetic number, because the mean of its divisors is an integer number (3144064).

Almost surely, 2130360428 is an apocalyptic number.

130360428 is a gapful number since it is divisible by the number (18) 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 130360428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188643840).

130360428 is an abundant number, since it is smaller than the sum of its proper divisors (246927252).

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

130360428 is a wasteful number, since it uses less digits than its factorization.

130360428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130360428 is about 11417.5491240458. The cubic root of 130360428 is about 507.0474378777.

The spelling of 130360428 in words is "one hundred thirty million, three hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 81 99 108 132 158 162 198 237 297 316 324 396 463 474 594 711 869 891 926 948 1188 1389 1422 1738 1782 1852 2133 2607 2778 2844 3476 3564 4167 4266 5093 5214 5556 6399 7821 8334 8532 10186 10428 12501 12798 15279 15642 16668 20372 23463 25002 25596 30558 31284 36577 37503 45837 46926 50004 61116 70389 73154 75006 91674 93852 109731 137511 140778 146308 150012 183348 219462 275022 281556 329193 402347 412533 438924 550044 658386 804694 825066 987579 1207041 1316772 1609388 1650132 1975158 2414082 2962737 3621123 3950316 4828164 5925474 7242246 10863369 11850948 14484492 21726738 32590107 43453476 65180214 130360428