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2120345304 = 2337115919447
BaseRepresentation
bin111111001100001…
…1110011011011000
312110202210200221120
41332120132123120
513320302022204
6550222205240
7103354431510
oct17630363330
95422720846
102120345304
119989748a0
124b2123820
1327a3924bc
14161864840
15c62356d9
hex7e61e6d8

2120345304 has 128 divisors (see below), whose sum is σ = 6721228800. Its totient is φ = 541376640.

The previous prime is 2120345291. The next prime is 2120345317. The reversal of 2120345304 is 4035430212.

It is an interprime number because it is at equal distance from previous prime (2120345291) and next prime (2120345317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 99309 + ... + 118755.

It is an arithmetic number, because the mean of its divisors is an integer number (52509600).

Almost surely, 22120345304 is an apocalyptic number.

2120345304 is a gapful number since it is divisible by the number (24) 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 2120345304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360614400).

2120345304 is an abundant number, since it is smaller than the sum of its proper divisors (4600883496).

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

2120345304 is a wasteful number, since it uses less digits than its factorization.

2120345304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19529 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2120345304 is about 46047.2073420311. The cubic root of 2120345304 is about 1284.7014005377.

Adding to 2120345304 its reverse (4035430212), we get a palindrome (6155775516).

The spelling of 2120345304 in words is "two billion, one hundred twenty million, three hundred forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 59 66 77 84 88 118 132 154 168 177 231 236 264 308 354 413 462 472 616 649 708 826 924 1239 1298 1416 1652 1848 1947 2478 2596 3304 3894 4543 4956 5192 7788 9086 9912 13629 15576 18172 19447 27258 36344 38894 54516 58341 77788 109032 116682 136129 155576 213917 233364 272258 408387 427834 466728 544516 641751 816774 855668 1089032 1147373 1283502 1497419 1633548 1711336 2294746 2567004 2994838 3267096 3442119 4492257 4589492 5134008 5989676 6884238 8031611 8984514 9178984 11979352 12621103 13768476 16063222 17969028 24094833 25242206 27536952 32126444 35938056 37863309 48189666 50484412 64252888 75726618 88347721 96379332 100968824 151453236 176695442 192758664 265043163 302906472 353390884 530086326 706781768 1060172652 2120345304