Search a number
-
+
29493090 = 232511313
BaseRepresentation
bin111000010000…
…0011101100010
32001111101220200
41300200131202
530022234330
62532050030
7505454454
oct160403542
961441820
1029493090
1115714660
129a63916
136158343
143cba2d4
1528c8a60
hex1c20762

29493090 has 96 divisors (see below), whose sum is σ = 86441472. Its totient is φ = 6919200.

The previous prime is 29493089. The next prime is 29493091. The reversal of 29493090 is 9039492.

It is an interprime number because it is at equal distance from previous prime (29493089) and next prime (29493091).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29493091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951375 + ... + 951405.

It is an arithmetic number, because the mean of its divisors is an integer number (900432).

Almost surely, 229493090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29493090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43220736).

29493090 is an abundant number, since it is smaller than the sum of its proper divisors (56948382).

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

29493090 is a wasteful number, since it uses less digits than its factorization.

29493090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 29493090 is about 5430.7540912842. The cubic root of 29493090 is about 308.9632029579.

The spelling of 29493090 in words is "twenty-nine million, four hundred ninety-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 961 990 1023 1395 1705 1922 2046 2790 2883 3069 3410 4805 5115 5766 6138 8649 9610 10230 10571 14415 15345 17298 21142 28830 29791 30690 31713 43245 52855 59582 63426 86490 89373 95139 105710 148955 158565 178746 190278 268119 297910 317130 327701 446865 475695 536238 655402 893730 951390 983103 1340595 1638505 1966206 2681190 2949309 3277010 4915515 5898618 9831030 14746545 29493090