Search a number
-
+
130949500 = 22531129821
BaseRepresentation
bin1111100111000…
…10000101111100
3100010101220221111
413303202011330
5232010341000
620554411404
73150023653
oct763420574
9303356844
10130949500
1167a10330
1237a30b64
132118ba16
141356a19a
15b769cba
hex7ce217c

130949500 has 96 divisors (see below), whose sum is σ = 323144640. Its totient is φ = 45920000.

The previous prime is 130949479. The next prime is 130949509. The reversal of 130949500 is 5949031.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130949509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159090 + ... + 159910.

It is an arithmetic number, because the mean of its divisors is an integer number (3366090).

Almost surely, 2130949500 is an apocalyptic number.

130949500 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 130949500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572320).

130949500 is an abundant number, since it is smaller than the sum of its proper divisors (192195140).

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

130949500 is a wasteful number, since it uses less digits than its factorization.

130949500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 130949500 is about 11443.3168268645. The cubic root of 130949500 is about 507.8100380946.

The spelling of 130949500 in words is "one hundred thirty million, nine hundred forty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 125 145 220 250 275 290 319 500 550 580 638 725 821 1100 1276 1375 1450 1595 1642 2750 2900 3190 3284 3625 4105 5500 6380 7250 7975 8210 9031 14500 15950 16420 18062 20525 23809 31900 36124 39875 41050 45155 47618 79750 82100 90310 95236 102625 119045 159500 180620 205250 225775 238090 261899 410500 451550 476180 523798 595225 903100 1047596 1128875 1190450 1309495 2257750 2380900 2618990 2976125 4515500 5237980 5952250 6547475 11904500 13094950 26189900 32737375 65474750 130949500