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210401340 = 22353124189
BaseRepresentation
bin11001000101001…
…11100000111100
3112122220111101020
430202213200330
5412330320330
632513344140
75133244662
oct1442474074
9478814336
10210401340
11a8847706
125a568050
1334789746
141dd2cc32
1513711210
hexc8a783c

210401340 has 144 divisors (see below), whose sum is σ = 630594720. Its totient is φ = 52377600.

The previous prime is 210401339. The next prime is 210401341. The reversal of 210401340 is 43104012.

It is an interprime number because it is at equal distance from previous prime (210401339) and next prime (210401341).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210401341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2364016 + ... + 2364104.

It is an arithmetic number, because the mean of its divisors is an integer number (4379130).

Almost surely, 2210401340 is an apocalyptic number.

210401340 is a gapful number since it is divisible by the number (20) 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 210401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315297360).

210401340 is an abundant number, since it is smaller than the sum of its proper divisors (420193380).

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

210401340 is a wasteful number, since it uses less digits than its factorization.

210401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 210401340 is about 14505.2176819240. The cubic root of 210401340 is about 594.7706104429.

Adding to 210401340 its reverse (43104012), we get a palindrome (253505352).

The spelling of 210401340 in words is "two hundred ten million, four hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 89 93 123 124 155 164 178 186 205 246 267 310 356 372 410 445 465 492 534 615 620 820 890 930 961 1068 1230 1271 1335 1780 1860 1922 2460 2542 2670 2759 2883 3649 3813 3844 4805 5084 5340 5518 5766 6355 7298 7626 8277 9610 10947 11036 11532 12710 13795 14415 14596 15252 16554 18245 19065 19220 21894 25420 27590 28830 33108 36490 38130 39401 41385 43788 54735 55180 57660 72980 76260 78802 82770 85529 109470 113119 118203 157604 165540 171058 197005 218940 226238 236406 256587 339357 342116 394010 427645 452476 472812 513174 565595 591015 678714 788020 855290 1026348 1131190 1182030 1282935 1357428 1696785 1710580 2262380 2364060 2565870 3393570 3506689 5131740 6787140 7013378 10520067 14026756 17533445 21040134 35066890 42080268 52600335 70133780 105200670 210401340