Search a number
-
+
31420200 = 2335277481
BaseRepresentation
bin111011111011…
…0111100101000
32012010022102010
41313312330220
531020421300
63041235520
7531032040
oct167667450
965108363
1031420200
1116810509
12a632ba0
136681546
14425c720
152b59a50
hex1df6f28

31420200 has 96 divisors (see below), whose sum is σ = 111332160. Its totient is φ = 7180800.

The previous prime is 31420189. The next prime is 31420217. The reversal of 31420200 is 202413.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 460 + ... + 7940.

It is an arithmetic number, because the mean of its divisors is an integer number (1159710).

Almost surely, 231420200 is an apocalyptic number.

31420200 is a gapful number since it is divisible by the number (30) 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 31420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55666080).

31420200 is an abundant number, since it is smaller than the sum of its proper divisors (79911960).

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

31420200 is a wasteful number, since it uses less digits than its factorization.

31420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7507 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31420200 is about 5605.3724229528. The cubic root of 31420200 is about 315.5510636212.

Adding to 31420200 its reverse (202413), we get a palindrome (31622613).

The spelling of 31420200 in words is "thirty-one million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 7481 14962 22443 29924 37405 44886 52367 59848 74810 89772 104734 112215 149620 157101 179544 187025 209468 224430 261835 299240 314202 374050 418936 448860 523670 561075 628404 748100 785505 897720 1047340 1122150 1256808 1309175 1496200 1571010 2094680 2244300 2618350 3142020 3927525 4488600 5236700 6284040 7855050 10473400 15710100 31420200