Search a number
-
+
130881840 = 24354147283
BaseRepresentation
bin1111100110100…
…01100100110000
3100010021111010120
413303101210300
5232001204330
620553130240
73146322465
oct763214460
9303244116
10130881840
1167974511
12379b9980
1321166c9b
141354d66c
15b754c10
hex7cd1930

130881840 has 160 divisors (see below), whose sum is σ = 425972736. Its totient is φ = 33208320.

The previous prime is 130881833. The next prime is 130881841. The reversal of 130881840 is 48188031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130881841) 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 31 ways as a sum of consecutive naturals, for example, 462339 + ... + 462621.

Almost surely, 2130881840 is an apocalyptic number.

130881840 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 130881840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212986368).

130881840 is an abundant number, since it is smaller than the sum of its proper divisors (295090896).

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

130881840 is a wasteful number, since it uses less digits than its factorization.

130881840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 130881840 is about 11440.3601341916. The cubic root of 130881840 is about 507.7225632884.

The spelling of 130881840 in words is "one hundred thirty million, eight hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 47 48 60 80 82 94 120 123 141 164 188 205 235 240 246 282 283 328 376 410 470 492 564 566 615 656 705 752 820 849 940 984 1128 1132 1230 1410 1415 1640 1698 1880 1927 1968 2256 2264 2460 2820 2830 3280 3396 3760 3854 4245 4528 4920 5640 5660 5781 6792 7708 8490 9635 9840 11280 11320 11562 11603 13301 13584 15416 16980 19270 22640 23124 23206 26602 28905 30832 33960 34809 38540 39903 46248 46412 53204 57810 58015 66505 67920 69618 77080 79806 92496 92824 106408 115620 116030 133010 139236 154160 159612 174045 185648 199515 212816 231240 232060 266020 278472 319224 348090 399030 462480 464120 532040 545341 556944 638448 696180 798060 928240 1064080 1090682 1392360 1596120 1636023 2181364 2726705 2784720 3192240 3272046 4362728 5453410 6544092 8180115 8725456 10906820 13088184 16360230 21813640 26176368 32720460 43627280 65440920 130881840