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210993090 = 235711241379
BaseRepresentation
bin11001001001101…
…11111111000010
3112201000120002220
430210313333002
5413003234330
632534151510
75141261130
oct1444677702
9481016086
10210993090
11a9111260
125a7b2596
1334935ba9
1420044750
15137cb710
hexc937fc2

210993090 has 128 divisors (see below), whose sum is σ = 635627520. Its totient is φ = 43545600.

The previous prime is 210993077. The next prime is 210993091. The reversal of 210993090 is 90399012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (210993091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556521 + ... + 556899.

It is an arithmetic number, because the mean of its divisors is an integer number (4965840).

Almost surely, 2210993090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210993090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317813760).

210993090 is an abundant number, since it is smaller than the sum of its proper divisors (424634430).

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

210993090 is a wasteful number, since it uses less digits than its factorization.

210993090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 210993090 is about 14525.6011923775. The cubic root of 210993090 is about 595.3276824133.

The spelling of 210993090 in words is "two hundred ten million, nine hundred ninety-three thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 241 330 379 385 462 482 723 758 770 1137 1155 1205 1446 1687 1895 2274 2310 2410 2651 2653 3374 3615 3790 4169 5061 5302 5306 5685 7230 7953 7959 8338 8435 10122 11370 12507 13255 13265 15906 15918 16870 18557 20845 25014 25305 26510 26530 29183 37114 39765 39795 41690 50610 55671 58366 62535 79530 79590 87549 91339 92785 111342 125070 145915 175098 182678 185570 274017 278355 291830 437745 456695 548034 556710 639373 875490 913390 1004729 1278746 1370085 1918119 2009458 2740170 3014187 3196865 3836238 5023645 6028374 6393730 7033103 9590595 10047290 14066206 15070935 19181190 21099309 30141870 35165515 42198618 70331030 105496545 210993090