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130170240 = 2738531
BaseRepresentation
bin1111100001000…
…11110110000000
3100001221100000000
413300203312000
5231310421430
620530000000
73140300034
oct760436600
9301840000
10130170240
1167528912
1237716000
1320c78115
14134061c4
15b663e60
hex7c23d80

130170240 has 288 divisors, whose sum is σ = 481815360. Its totient is φ = 33592320.

The previous prime is 130170233. The next prime is 130170247. The reversal of 130170240 is 42071031.

It is an interprime number because it is at equal distance from previous prime (130170233) and next prime (130170247).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130170247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4199025 + ... + 4199055.

It is an arithmetic number, because the mean of its divisors is an integer number (1672970).

Almost surely, 2130170240 is an apocalyptic number.

130170240 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 130170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240907680).

130170240 is an abundant number, since it is smaller than the sum of its proper divisors (351645120).

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

130170240 is an frugal number, since it uses more digits than its factorization.

130170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130170240 is about 11409.2173263550. The cubic root of 130170240 is about 506.8007339893.

The spelling of 130170240 in words is "one hundred thirty million, one hundred seventy thousand, two hundred forty".