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130117248 = 2732179631
BaseRepresentation
bin1111100000101…
…10111010000000
3100001211122022100
413300112322000
5231302222443
620524510400
73136656402
oct760267200
9301748270
10130117248
11674a2018
12376ab400
1320c59c71
14133d0b72
15b6533d3
hex7c16e80

130117248 has 96 divisors (see below), whose sum is σ = 377114400. Its totient is φ = 43061760.

The previous prime is 130117241. The next prime is 130117259. The reversal of 130117248 is 842711031.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (130117241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205893 + ... + 206523.

It is an arithmetic number, because the mean of its divisors is an integer number (3928275).

Almost surely, 2130117248 is an apocalyptic number.

130117248 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 130117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188557200).

130117248 is an abundant number, since it is smaller than the sum of its proper divisors (246997152).

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

130117248 is a wasteful number, since it uses less digits than its factorization.

130117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 130117248 is about 11406.8947571195. The cubic root of 130117248 is about 506.7319521907.

Adding to 130117248 its reverse (842711031), we get a palindrome (972828279).

The spelling of 130117248 in words is "one hundred thirty million, one hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 576 631 716 1074 1152 1262 1432 1611 1893 2148 2524 2864 3222 3786 4296 5048 5679 5728 6444 7572 8592 10096 11358 11456 12888 15144 17184 20192 22716 22912 25776 30288 34368 40384 45432 51552 60576 68736 80768 90864 103104 112949 121152 181728 206208 225898 242304 338847 363456 451796 677694 726912 903592 1016541 1355388 1807184 2033082 2710776 3614368 4066164 5421552 7228736 8132328 10843104 14457472 16264656 21686208 32529312 43372416 65058624 130117248