Search a number
-
+
29985990 = 23519311697
BaseRepresentation
bin111001001100…
…0110011000110
32002102110001020
41302120303012
530134022430
62550412010
7512606466
oct162306306
962373036
1029985990
1115a20a11
12a061006
13629b7b8
143da7ba6
152974b10
hex1c98cc6

29985990 has 64 divisors (see below), whose sum is σ = 78243840. Its totient is φ = 7326720.

The previous prime is 29985973. The next prime is 29986003. The reversal of 29985990 is 9958992.

It is a congruent number.

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, 16822 + ... + 18518.

It is an arithmetic number, because the mean of its divisors is an integer number (1222560).

Almost surely, 229985990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29985990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39121920).

29985990 is an abundant number, since it is smaller than the sum of its proper divisors (48257850).

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

29985990 is a wasteful number, since it uses less digits than its factorization.

29985990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757.

The product of its (nonzero) digits is 524880, while the sum is 51.

The square root of 29985990 is about 5475.9464935297. The cubic root of 29985990 is about 310.6748738113.

The spelling of 29985990 in words is "twenty-nine million, nine hundred eighty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1697 1767 2945 3394 3534 5091 5890 8485 8835 10182 16970 17670 25455 32243 50910 52607 64486 96729 105214 157821 161215 193458 263035 315642 322430 483645 526070 789105 967290 999533 1578210 1999066 2998599 4997665 5997198 9995330 14992995 29985990