Search a number
-
+
283925070 = 2325111321697
BaseRepresentation
bin10000111011000…
…101101001001110
3201210020212222100
4100323011221032
51040141100240
644101255530
710015215612
oct2073055116
9653225870
10283925070
111362a5120
127b1045a6
1346a90100
14299cb342
1519dd5e30
hex10ec5a4e

283925070 has 144 divisors (see below), whose sum is σ = 872541072. Its totient is φ = 63498240.

The previous prime is 283925011. The next prime is 283925101. The reversal of 283925070 is 70529382.

It is a happy number.

It is a super-2 number, since 2×2839250702 = 161226890749009800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166462 + ... + 168158.

It is an arithmetic number, because the mean of its divisors is an integer number (6059313).

Almost surely, 2283925070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283925070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436270536).

283925070 is an abundant number, since it is smaller than the sum of its proper divisors (588616002).

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

283925070 is a wasteful number, since it uses less digits than its factorization.

283925070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 283925070 is about 16850.0762609550. The cubic root of 283925070 is about 657.2560319299.

The spelling of 283925070 in words is "two hundred eighty-three million, nine hundred twenty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 169 195 198 234 286 330 338 390 429 495 507 585 715 845 858 990 1014 1170 1287 1430 1521 1690 1697 1859 2145 2535 2574 3042 3394 3718 4290 5070 5091 5577 6435 7605 8485 9295 10182 11154 12870 15210 15273 16731 16970 18590 18667 22061 25455 27885 30546 33462 37334 44122 50910 55770 56001 66183 76365 83655 93335 110305 112002 132366 152730 167310 168003 186670 198549 220610 242671 280005 286793 330915 336006 397098 485342 560010 573586 661830 728013 840015 860379 992745 1213355 1433965 1456026 1680030 1720758 1985490 2184039 2426710 2581137 2867930 3154723 3640065 4301895 4368078 5162274 6309446 7280130 8603790 9464169 10920195 12905685 15773615 18928338 21840390 25811370 28392507 31547230 47320845 56785014 94641690 141962535 283925070