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2123413040 = 24572733739
BaseRepresentation
bin111111010010000…
…1011011000110000
312110222120120002102
41332210023120300
513322043204130
6550412035532
7103422466400
oct17644133060
95428516072
102123413040
1199a67a711
124b3162ba8
1327abc7928
14162022800
15c663e645
hex7e90b630

2123413040 has 120 divisors (see below), whose sum is σ = 5758582320. Its totient is φ = 726050304.

The previous prime is 2123412961. The next prime is 2123413043. The reversal of 2123413040 is 403143212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2123413043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872991 + ... + 2873729.

It is an arithmetic number, because the mean of its divisors is an integer number (47988186).

Almost surely, 22123413040 is an apocalyptic number.

2123413040 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 2123413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879291160).

2123413040 is an abundant number, since it is smaller than the sum of its proper divisors (3635169280).

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

2123413040 is a wasteful number, since it uses less digits than its factorization.

2123413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2123413040 is about 46080.5060736099. The cubic root of 2123413040 is about 1285.3206747614.

Adding to 2123413040 its reverse (403143212), we get a palindrome (2526556252).

The spelling of 2123413040 in words is "two billion, one hundred twenty-three million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 733 739 784 980 1466 1478 1960 2932 2956 3665 3695 3920 5131 5173 5864 5912 7330 7390 10262 10346 11728 11824 14660 14780 20524 20692 25655 25865 29320 29560 35917 36211 41048 41384 51310 51730 58640 59120 71834 72422 82096 82768 102620 103460 143668 144844 179585 181055 205240 206920 287336 289688 359170 362110 410480 413840 541687 574672 579376 718340 724220 1083374 1436680 1448440 2166748 2708435 2873360 2896880 3791809 4333496 5416870 7583618 8666992 10833740 15167236 18959045 21667480 26542663 30334472 37918090 43334960 53085326 60668944 75836180 106170652 132713315 151672360 212341304 265426630 303344720 424682608 530853260 1061706520 2123413040