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130948480 = 2751315739
BaseRepresentation
bin1111100111000…
…01110110000000
3100010101212112201
413303201312000
5232010322410
620554402544
73150020665
oct763416600
9303355481
10130948480
1167a0a593
1237a30454
132118b410
1413569a6c
15b76983a
hex7ce1d80

130948480 has 64 divisors (see below), whose sum is σ = 337150800. Its totient is φ = 48347136.

The previous prime is 130948469. The next prime is 130948483. The reversal of 130948480 is 84849031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130948483) 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 7 ways as a sum of consecutive naturals, for example, 451 + ... + 16189.

Almost surely, 2130948480 is an apocalyptic number.

130948480 is a gapful number since it is divisible by the number (10) 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 130948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168575400).

130948480 is an abundant number, since it is smaller than the sum of its proper divisors (206202320).

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

130948480 is a wasteful number, since it uses less digits than its factorization.

130948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 130948480 is about 11443.2722592797. The cubic root of 130948480 is about 507.8087196026.

The spelling of 130948480 in words is "one hundred thirty million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 15739 31478 62956 78695 125912 157390 204607 251824 314780 409214 503648 629560 818428 1007296 1023035 1259120 1636856 2014592 2046070 2518240 3273712 4092140 5036480 6547424 8184280 10072960 13094848 16368560 26189696 32737120 65474240 130948480