Search a number
-
+
2313987900 = 2235273313329
BaseRepresentation
bin1000100111101100…
…1010011100111100
312222021011202122120
42021323022130330
514214340103100
61021340442540
7111225400260
oct21173123474
95867152576
102313987900
11a882053a4
12546b49450
132ab531c13
1417d4700a0
15d82360a0
hex89eca73c

2313987900 has 144 divisors (see below), whose sum is σ = 7677008640. Its totient is φ = 527155200.

The previous prime is 2313987869. The next prime is 2313987913. The reversal of 2313987900 is 97893132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693436 + ... + 696764.

It is an arithmetic number, because the mean of its divisors is an integer number (53312560).

Almost surely, 22313987900 is an apocalyptic number.

2313987900 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 2313987900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838504320).

2313987900 is an abundant number, since it is smaller than the sum of its proper divisors (5363020740).

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

2313987900 is a wasteful number, since it uses less digits than its factorization.

2313987900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 2313987900 is about 48103.9281140324. The cubic root of 2313987900 is about 1322.6766737596.

The spelling of 2313987900 in words is "two billion, three hundred thirteen million, nine 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 50 60 70 75 84 100 105 140 150 175 210 300 331 350 420 525 662 700 993 1050 1324 1655 1986 2100 2317 3310 3329 3972 4634 4965 6620 6658 6951 8275 9268 9930 9987 11585 13316 13902 16550 16645 19860 19974 23170 23303 24825 27804 33100 33290 34755 39948 46340 46606 49650 49935 57925 66580 69510 69909 83225 93212 99300 99870 115850 116515 139020 139818 166450 173775 199740 231700 233030 249675 279636 332900 347550 349545 466060 499350 582575 695100 699090 998700 1101899 1165150 1398180 1747725 2203798 2330300 3305697 3495450 4407596 5509495 6611394 6990900 7713293 11018990 13222788 15426586 16528485 22037980 23139879 27547475 30853172 33056970 38566465 46279758 55094950 66113940 77132930 82642425 92559516 110189900 115699395 154265860 165284850 192832325 231398790 330569700 385664650 462797580 578496975 771329300 1156993950 2313987900