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2051531340 = 22352910311447
BaseRepresentation
bin111101001000111…
…1110001001001100
312021222022120221020
41322101332021030
513200143000330
6535323234140
7101560504635
oct17221761114
95258276836
102051531340
11963043951
12493078950
1326904a791
1415667088c
15c0191210
hex7a47e24c

2051531340 has 96 divisors (see below), whose sum is σ = 6000583680. Its totient is φ = 523036416.

The previous prime is 2051531323. The next prime is 2051531347. The reversal of 2051531340 is 431351502.

2051531340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×20515313403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2051531340.

It is not an unprimeable number, because it can be changed into a prime (2051531347) 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, 173497 + ... + 184943.

It is an arithmetic number, because the mean of its divisors is an integer number (62506080).

Almost surely, 22051531340 is an apocalyptic number.

2051531340 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 2051531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000291840).

2051531340 is an abundant number, since it is smaller than the sum of its proper divisors (3949052340).

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

2051531340 is a wasteful number, since it uses less digits than its factorization.

2051531340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11591 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2051531340 is about 45293.8333551048. The cubic root of 2051531340 is about 1270.6503251677.

Adding to 2051531340 its reverse (431351502), we get a palindrome (2482882842).

The spelling of 2051531340 in words is "two billion, fifty-one million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 103 116 145 174 206 290 309 348 412 435 515 580 618 870 1030 1236 1545 1740 2060 2987 3090 5974 6180 8961 11447 11948 14935 17922 22894 29870 34341 35844 44805 45788 57235 59740 68682 89610 114470 137364 171705 179220 228940 331963 343410 663926 686820 995889 1179041 1327852 1659815 1991778 2358082 3319630 3537123 3983556 4716164 4979445 5895205 6639260 7074246 9958890 11790410 14148492 17685615 19917780 23580820 34192189 35371230 68384378 70742460 102576567 136768756 170960945 205153134 341921890 410306268 512882835 683843780 1025765670 2051531340