Search a number
-
+
31303140 = 223511431103
BaseRepresentation
bin111011101101…
…0010111100100
32011220100211120
41313122113210
531003200030
63034533540
7530033541
oct167322744
964810746
1031303140
1116740570
12a5972b0
13664018b
14422bbc8
152b35010
hex1dda5e4

31303140 has 96 divisors (see below), whose sum is σ = 97929216. Its totient is φ = 7405440.

The previous prime is 31303133. The next prime is 31303157. The reversal of 31303140 is 4130313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27829 + ... + 28931.

It is an arithmetic number, because the mean of its divisors is an integer number (1020096).

Almost surely, 231303140 is an apocalyptic number.

31303140 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 31303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964608).

31303140 is an abundant number, since it is smaller than the sum of its proper divisors (66626076).

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

31303140 is a wasteful number, since it uses less digits than its factorization.

31303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 31303140 is about 5594.9209109692. The cubic root of 31303140 is about 315.1587005807.

Adding to 31303140 its reverse (4130313), we get a palindrome (35433453).

The spelling of 31303140 in words is "thirty-one million, three hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1103 1290 1419 1892 2206 2365 2580 2838 3309 4412 4730 5515 5676 6618 7095 9460 11030 12133 13236 14190 16545 22060 24266 28380 33090 36399 47429 48532 60665 66180 72798 94858 121330 142287 145596 181995 189716 237145 242660 284574 363990 474290 521719 569148 711435 727980 948580 1043438 1422870 1565157 2086876 2608595 2845740 3130314 5217190 6260628 7825785 10434380 15651570 31303140