Search a number
-
+
210249936 = 243213313623
BaseRepresentation
bin11001000100000…
…10100011010000
3112122121210200200
430202002203100
5412310444221
632510215200
75132044401
oct1442024320
9478553620
10210249936
11a8753986
125a4b4500
1334735860
141dccd9a8
15136d1426
hexc8828d0

210249936 has 120 divisors (see below), whose sum is σ = 654291456. Its totient is φ = 62588160.

The previous prime is 210249917. The next prime is 210249943. The reversal of 210249936 is 639942012.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 210249936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56221 + ... + 59843.

Almost surely, 2210249936 is an apocalyptic number.

210249936 is a gapful number since it is divisible by the number (26) 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 210249936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327145728).

210249936 is an abundant number, since it is smaller than the sum of its proper divisors (444041520).

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

210249936 is a wasteful number, since it uses less digits than its factorization.

210249936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 210249936 is about 14499.9977931033. The cubic root of 210249936 is about 594.6279113229.

The spelling of 210249936 in words is "two hundred ten million, two hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3623 3627 4464 4836 6448 7246 7254 9672 10869 14492 14508 19344 21738 28984 29016 32607 43476 47099 57968 58032 65214 86952 94198 112313 130428 141297 173904 188396 224626 260856 282594 336939 376792 423891 449252 521712 565188 673878 753584 847782 898504 1010817 1130376 1347756 1460069 1695564 1797008 2021634 2260752 2695512 2920138 3391128 4043268 4380207 5391024 5840276 6782256 8086536 8760414 11680552 13140621 16173072 17520828 23361104 26281242 35041656 52562484 70083312 105124968 210249936