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130270448 = 24711412579
BaseRepresentation
bin1111100001111…
…00010011110000
3100002010102110102
413300330103300
5231322123243
620532051532
73141165140
oct760742360
9302112412
10130270448
1167597130
1237763ba8
1320cb1909
1413430920
15b6839b8
hex7c3c4f0

130270448 has 80 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 49497600.

The previous prime is 130270433. The next prime is 130270453. The reversal of 130270448 is 844072031.

It is a self number, because there is not a number n which added to its sum of digits gives 130270448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49223 + ... + 51801.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992).

Almost surely, 2130270448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130270448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

130270448 is an abundant number, since it is smaller than the sum of its proper divisors (192208912).

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

130270448 is a wasteful number, since it uses less digits than its factorization.

130270448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 130270448 is about 11413.6080185014. The cubic root of 130270448 is about 506.9307495279.

The spelling of 130270448 in words is "one hundred thirty million, two hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 2296 2579 3157 3608 4592 5158 6314 7216 10316 12628 18053 20632 25256 28369 36106 41264 50512 56738 72212 105739 113476 144424 198583 211478 226952 288848 397166 422956 453904 740173 794332 845912 1163129 1480346 1588664 1691824 2326258 2960692 3177328 4652516 5921384 8141903 9305032 11842768 16283806 18610064 32567612 65135224 130270448