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130975488 = 283372707
BaseRepresentation
bin1111100111010…
…00011100000000
3100010110020121000
413303220130000
5232012203423
620555132000
73150162510
oct763503400
9303406530
10130975488
1167a28906
1237a44000
132119a7b7
1413575840
15b772843
hex7ce8700

130975488 has 144 divisors (see below), whose sum is σ = 442812160. Its totient is φ = 37407744.

The previous prime is 130975483. The next prime is 130975517. The reversal of 130975488 is 884579031.

130975488 is a `hidden beast` number, since 13 + 0 + 97 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130975483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47031 + ... + 49737.

Almost surely, 2130975488 is an apocalyptic number.

130975488 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 130975488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221406080).

130975488 is an abundant number, since it is smaller than the sum of its proper divisors (311836672).

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

130975488 is an equidigital number, since it uses as much as digits as its factorization.

130975488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 130975488 is about 11444.4522804720. The cubic root of 130975488 is about 507.8436288919.

The spelling of 130975488 in words is "one hundred thirty million, nine hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 2707 3024 3456 4032 5376 5414 6048 6912 8064 8121 10828 12096 16128 16242 18949 21656 24192 24363 32484 37898 43312 48384 48726 56847 64968 73089 75796 86624 97452 113694 129936 146178 151592 170541 173248 194904 227388 259872 292356 303184 341082 346496 389808 454776 511623 519744 584712 606368 682164 692992 779616 909552 1023246 1039488 1169424 1212736 1364328 1559232 1819104 2046492 2078976 2338848 2425472 2728656 3118464 3638208 4092984 4677696 4850944 5457312 6236928 7276416 8185968 9355392 10914624 14552832 16371936 18710784 21829248 32743872 43658496 65487744 130975488