Search a number
-
+
130686000 = 2435323947
BaseRepresentation
bin1111100101000…
…01110000110000
3100002220112111020
413302201300300
5231423423000
620545015440
73144545514
oct762416060
9302815436
10130686000
1167850365
1237924580
13210c8ac3
14134dc144
15b716ba0
hex7ca1c30

130686000 has 160 divisors (see below), whose sum is σ = 440114688. Its totient is φ = 33299200.

The previous prime is 130685999. The next prime is 130686001. The reversal of 130686000 is 686031.

It is an interprime number because it is at equal distance from previous prime (130685999) and next prime (130686001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130686001) 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, 137527 + ... + 138473.

Almost surely, 2130686000 is an apocalyptic number.

130686000 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 130686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220057344).

130686000 is an abundant number, since it is smaller than the sum of its proper divisors (309428688).

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

130686000 is a wasteful number, since it uses less digits than its factorization.

130686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 130686000 is about 11431.7977588829. The cubic root of 130686000 is about 507.4691998424.

The spelling of 130686000 in words is "one hundred thirty million, six hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 947 1000 1104 1150 1200 1380 1500 1725 1840 1894 2000 2300 2760 2841 2875 3000 3450 3788 4600 4735 5520 5682 5750 6000 6900 7576 8625 9200 9470 11364 11500 13800 14205 15152 17250 18940 21781 22728 23000 23675 27600 28410 34500 37880 43562 45456 46000 47350 56820 65343 69000 71025 75760 87124 94700 108905 113640 118375 130686 138000 142050 174248 189400 217810 227280 236750 261372 284100 326715 348496 355125 378800 435620 473500 522744 544525 568200 653430 710250 871240 947000 1045488 1089050 1136400 1306860 1420500 1633575 1742480 1894000 2178100 2613720 2722625 2841000 3267150 4356200 5227440 5445250 5682000 6534300 8167875 8712400 10890500 13068600 16335750 21781000 26137200 32671500 43562000 65343000 130686000