Search a number
-
+
31020800 = 285237131
BaseRepresentation
bin111011001010…
…1011100000000
32011101000112112
41312111130000
530420131200
63024514452
7524446436
oct166253400
964330475
1031020800
1116568428
12a47ba28
136571805
144196d56
152acb535
hex1d95700

31020800 has 108 divisors (see below), whose sum is σ = 79458456. Its totient is φ = 11980800.

The previous prime is 31020793. The next prime is 31020809. The reversal of 31020800 is 802013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236735 + ... + 236865.

Almost surely, 231020800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39729228).

31020800 is an abundant number, since it is smaller than the sum of its proper divisors (48437656).

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

31020800 is a wasteful number, since it uses less digits than its factorization.

31020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 31020800 is about 5569.6319447518. The cubic root of 31020800 is about 314.2083083673.

Adding to 31020800 its reverse (802013), we get a palindrome (31822813).

The spelling of 31020800 in words is "thirty-one million, twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 131 148 160 185 200 256 262 296 320 370 400 524 592 640 655 740 800 925 1048 1184 1280 1310 1480 1600 1850 2096 2368 2620 2960 3200 3275 3700 4192 4736 4847 5240 5920 6400 6550 7400 8384 9472 9694 10480 11840 13100 14800 16768 19388 20960 23680 24235 26200 29600 33536 38776 41920 47360 48470 52400 59200 77552 83840 96940 104800 118400 121175 155104 167680 193880 209600 236800 242350 310208 387760 419200 484700 620416 775520 838400 969400 1240832 1551040 1938800 3102080 3877600 6204160 7755200 15510400 31020800