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130669000 = 23537111697
BaseRepresentation
bin1111100100111…
…01100111001000
3100002212200011121
413302131213020
5231422402000
620544405024
73144445120
oct762354710
9302780147
10130669000
1167839610
1237916774
13210c1147
14134d5c80
15b711b1a
hex7c9d9c8

130669000 has 128 divisors (see below), whose sum is σ = 381438720. Its totient is φ = 40704000.

The previous prime is 130668973. The next prime is 130669031. The reversal of 130669000 is 966031.

It is a super-2 number, since 2×1306690002 = 34148775122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76152 + ... + 77848.

It is an arithmetic number, because the mean of its divisors is an integer number (2979990).

Almost surely, 2130669000 is an apocalyptic number.

130669000 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 130669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190719360).

130669000 is an abundant number, since it is smaller than the sum of its proper divisors (250769720).

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

130669000 is a wasteful number, since it uses less digits than its factorization.

130669000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 130669000 is about 11431.0541946052. The cubic root of 130669000 is about 507.4471945511.

The spelling of 130669000 in words is "one hundred thirty million, six hundred sixty-nine thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1697 1750 1925 2200 2750 3080 3394 3500 3850 5500 6788 7000 7700 8485 9625 11000 11879 13576 15400 16970 18667 19250 23758 33940 37334 38500 42425 47516 59395 67880 74668 77000 84850 93335 95032 118790 130669 149336 169700 186670 212125 237580 261338 296975 339400 373340 424250 466675 475160 522676 593950 653345 746680 848500 933350 1045352 1187900 1306690 1484875 1697000 1866700 2333375 2375800 2613380 2969750 3266725 3733400 4666750 5226760 5939500 6533450 9333500 11879000 13066900 16333625 18667000 26133800 32667250 65334500 130669000