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2123513440 = 255711071747
BaseRepresentation
bin111111010010010…
…0011111001100000
312110222202122210221
41332210203321200
513322104412230
6550414132424
7103423365166
oct17644437140
95428678727
102123513440
1199a739094
124b31b1114
1327ac31539
1416204b236
15c665e27a
hex7e923e60

2123513440 has 96 divisors (see below), whose sum is σ = 5137945344. Its totient is φ = 829140480.

The previous prime is 2123513411. The next prime is 2123513449. The reversal of 2123513440 is 443153212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123513449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214647 + ... + 1216393.

It is an arithmetic number, because the mean of its divisors is an integer number (53520264).

Almost surely, 22123513440 is an apocalyptic number.

2123513440 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 2123513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568972672).

2123513440 is an abundant number, since it is smaller than the sum of its proper divisors (3014431904).

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

2123513440 is a wasteful number, since it uses less digits than its factorization.

2123513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2123513440 is about 46081.5954584908. The cubic root of 2123513440 is about 1285.3409321111.

Adding to 2123513440 its reverse (443153212), we get a palindrome (2566666652).

The spelling of 2123513440 in words is "two billion, one hundred twenty-three million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 107 142 160 214 284 355 428 535 568 710 856 1070 1136 1420 1712 1747 2140 2272 2840 3424 3494 4280 5680 6988 7597 8560 8735 11360 13976 15194 17120 17470 27952 30388 34940 37985 55904 60776 69880 75970 121552 124037 139760 151940 186929 243104 248074 279520 303880 373858 496148 607760 620185 747716 934645 992296 1215520 1240370 1495432 1869290 1984592 2480740 2990864 3738580 3969184 4961480 5981728 7477160 9922960 13271959 14954320 19845920 26543918 29908640 53087836 66359795 106175672 132719590 212351344 265439180 424702688 530878360 1061756720 2123513440