Search a number
-
+
213700520 = 23511267659
BaseRepresentation
bin11001011110011…
…00111110101000
3112220010010000002
430233030332220
5414201404040
633112202132
75203265405
oct1457147650
9486103002
10213700520
11aa6a0400
125b699348
1335373317
142054b2ac
1513b63a15
hexcbccfa8

213700520 has 96 divisors (see below), whose sum is σ = 537213600. Its totient is φ = 76433280.

The previous prime is 213700511. The next prime is 213700561. The reversal of 213700520 is 25007312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213700492 and 213700501.

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, 323951 + ... + 324609.

It is an arithmetic number, because the mean of its divisors is an integer number (5595975).

Almost surely, 2213700520 is an apocalyptic number.

213700520 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 213700520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268606800).

213700520 is an abundant number, since it is smaller than the sum of its proper divisors (323513080).

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

213700520 is a wasteful number, since it uses less digits than its factorization.

213700520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 213700520 is about 14618.4992389780. The cubic root of 213700520 is about 597.8632513939.

Adding to 213700520 its reverse (25007312), we get a palindrome (238707832).

The spelling of 213700520 in words is "two hundred thirteen million, seven hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 121 134 220 242 268 335 440 484 536 605 659 670 737 968 1210 1318 1340 1474 2420 2636 2680 2948 3295 3685 4840 5272 5896 6590 7249 7370 8107 13180 14498 14740 16214 26360 28996 29480 32428 36245 40535 44153 57992 64856 72490 79739 81070 88306 144980 159478 162140 176612 220765 289960 318956 324280 353224 398695 441530 485683 637912 797390 883060 971366 1594780 1766120 1942732 2428415 3189560 3885464 4856830 5342513 9713660 10685026 19427320 21370052 26712565 42740104 53425130 106850260 213700520