Search a number
-
+
150665130 = 23357117247
BaseRepresentation
bin10001111101011…
…11011110101010
3101111111120201000
420332233132222
5302032241010
622541135430
73506426640
oct1076573652
9344446630
10150665130
1178056a40
124255a576
13252a2885
141601d190
15d3617c0
hex8faf7aa

150665130 has 128 divisors (see below), whose sum is σ = 500981760. Its totient is φ = 31302720.

The previous prime is 150665113. The next prime is 150665171. The reversal of 150665130 is 31566051.

It is a happy number.

150665130 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 651 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150665094 and 150665103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17167 + ... + 24413.

It is an arithmetic number, because the mean of its divisors is an integer number (3913920).

Almost surely, 2150665130 is an apocalyptic number.

150665130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150665130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250490880).

150665130 is an abundant number, since it is smaller than the sum of its proper divisors (350316630).

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

150665130 is a wasteful number, since it uses less digits than its factorization.

150665130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150665130 is about 12274.5724976473. The cubic root of 150665130 is about 532.1134667620.

The spelling of 150665130 in words is "one hundred fifty million, six hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 7247 10395 14494 20790 21741 36235 43482 50729 65223 72470 79717 101458 108705 130446 152187 159434 195669 217410 239151 253645 304374 326115 391338 398585 456561 478302 507290 558019 652230 717453 760935 797170 913122 978345 1116038 1195755 1369683 1434906 1521870 1674057 1956690 2152359 2282805 2391510 2739366 2790095 3348114 3587265 4304718 4565610 5022171 5580190 6848415 7174530 8370285 10044342 10761795 13696830 15066513 16740570 21523590 25110855 30133026 50221710 75332565 150665130