Search a number
-
+
31287900 = 22352747317
BaseRepresentation
bin111011101011…
…0101001011100
32011212120221010
41313112221130
531002203100
63034335220
7526641240
oct167265134
964776833
1031287900
1116730076
12a58a510
136636267
144226420
152b30750
hex1dd6a5c

31287900 has 144 divisors (see below), whose sum is σ = 105993216. Its totient is φ = 6977280.

The previous prime is 31287887. The next prime is 31287911. The reversal of 31287900 is 978213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98542 + ... + 98858.

It is an arithmetic number, because the mean of its divisors is an integer number (736064).

Almost surely, 231287900 is an apocalyptic number.

31287900 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 31287900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996608).

31287900 is an abundant number, since it is smaller than the sum of its proper divisors (74705316).

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

31287900 is a wasteful number, since it uses less digits than its factorization.

31287900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 31287900 is about 5593.5587956148. The cubic root of 31287900 is about 315.1075470514.

The spelling of 31287900 in words is "thirty-one million, two hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 140 141 150 175 188 210 235 282 300 317 329 350 420 470 525 564 634 658 700 705 940 951 987 1050 1175 1268 1316 1410 1585 1645 1902 1974 2100 2219 2350 2820 3170 3290 3525 3804 3948 4438 4700 4755 4935 6340 6580 6657 7050 7925 8225 8876 9510 9870 11095 13314 14100 14899 15850 16450 19020 19740 22190 23775 24675 26628 29798 31700 32900 33285 44380 44697 47550 49350 55475 59596 66570 74495 89394 95100 98700 104293 110950 133140 148990 166425 178788 208586 221900 223485 297980 312879 332850 372475 417172 446970 521465 625758 665700 744950 893940 1042930 1117425 1251516 1489900 1564395 2085860 2234850 2607325 3128790 4469700 5214650 6257580 7821975 10429300 15643950 31287900