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130820480 = 275729201
BaseRepresentation
bin1111100110000…
…10100110000000
3100010011100221222
413303002212000
5231442223410
620551534212
73145645550
oct763024600
9303140858
10130820480
11679323aa
123798a368
132114508b
1413535160
15b741955
hex7cc2980

130820480 has 64 divisors (see below), whose sum is σ = 357432480. Its totient is φ = 44851200.

The previous prime is 130820471. The next prime is 130820489. The reversal of 130820480 is 84028031.

It is an interprime number because it is at equal distance from previous prime (130820471) and next prime (130820489).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1308204802 = 34227995974860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130820489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10121 + ... + 19080.

Almost surely, 2130820480 is an apocalyptic number.

130820480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130820480 is an abundant number, since it is smaller than the sum of its proper divisors (226612000).

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

130820480 is an equidigital number, since it uses as much as digits as its factorization.

130820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29227 (or 29215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 130820480 is about 11437.6780860453. The cubic root of 130820480 is about 507.6432074198.

The spelling of 130820480 in words is "one hundred thirty million, eight hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 29201 58402 116804 146005 204407 233608 292010 408814 467216 584020 817628 934432 1022035 1168040 1635256 1868864 2044070 2336080 3270512 3737728 4088140 4672160 6541024 8176280 9344320 13082048 16352560 18688640 26164096 32705120 65410240 130820480