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2372071240 = 2357112926557
BaseRepresentation
bin1000110101100010…
…1110111101001000
320010022110201000101
42031120232331020
514324222234430
61031213415144
7112532162410
oct21530567510
96108421011
102372071240
111007a77260
1256249a4b4
132ba58a666
1418706d640
15dd3aadca
hex8d62ef48

2372071240 has 128 divisors (see below), whose sum is σ = 6883833600. Its totient is φ = 713825280.

The previous prime is 2372071187. The next prime is 2372071241. The reversal of 2372071240 is 421702732.

2372071240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2372071199 and 2372071208.

It is not an unprimeable number, because it can be changed into a prime (2372071241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76042 + ... + 102598.

It is an arithmetic number, because the mean of its divisors is an integer number (53779950).

Almost surely, 22372071240 is an apocalyptic number.

2372071240 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 2372071240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441916800).

2372071240 is an abundant number, since it is smaller than the sum of its proper divisors (4511762360).

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

2372071240 is a wasteful number, since it uses less digits than its factorization.

2372071240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26615 (or 26611 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2372071240 is about 48703.9140110936. The cubic root of 2372071240 is about 1333.6521701401.

Adding to 2372071240 its reverse (421702732), we get a palindrome (2793773972).

The spelling of 2372071240 in words is "two billion, three hundred seventy-two million, seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 154 203 220 232 280 290 308 319 385 406 440 580 616 638 770 812 1015 1160 1276 1540 1595 1624 2030 2233 2552 3080 3190 4060 4466 6380 8120 8932 11165 12760 17864 22330 26557 44660 53114 89320 106228 132785 185899 212456 265570 292127 371798 531140 584254 743596 770153 929495 1062280 1168508 1460635 1487192 1540306 1858990 2044889 2337016 2921270 3080612 3717980 3850765 4089778 5391071 5842540 6161224 7435960 7701530 8179556 8471683 10224445 10782142 11685080 15403060 16359112 16943366 20448890 21564284 26955355 30806120 33886732 40897780 42358415 43128568 53910710 59301781 67773464 81795560 84716830 107821420 118603562 169433660 215642840 237207124 296508905 338867320 474414248 593017810 1186035620 2372071240