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1051355140 = 22511171092579
BaseRepresentation
bin111110101010100…
…110100000000100
32201021022101010021
4332222212200010
54123121331030
6252154104524
735024241223
oct7652464004
92637271107
101051355140
1149a50a750
1225411b144
13139a7b344
149d8b8cba
156247797a
hex3eaa6804

1051355140 has 96 divisors (see below), whose sum is σ = 2574633600. Its totient is φ = 356382720.

The previous prime is 1051355099. The next prime is 1051355141. The reversal of 1051355140 is 415531501.

It is a happy number.

It is a super-2 number, since 2×10513551402 = 2210695260808839200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051355141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406371 + ... + 408949.

It is an arithmetic number, because the mean of its divisors is an integer number (26819100).

Almost surely, 21051355140 is an apocalyptic number.

1051355140 is a gapful number since it is divisible by the number (10) 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 1051355140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287316800).

1051355140 is an abundant number, since it is smaller than the sum of its proper divisors (1523278460).

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

1051355140 is a wasteful number, since it uses less digits than its factorization.

1051355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1051355140 is about 32424.6070138097. The cubic root of 1051355140 is about 1016.8334257796.

Adding to 1051355140 its reverse (415531501), we get a palindrome (1466886641).

The spelling of 1051355140 in words is "one billion, fifty-one million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 109 110 170 187 218 220 340 374 436 545 748 935 1090 1199 1853 1870 2180 2398 2579 3706 3740 4796 5158 5995 7412 9265 10316 11990 12895 18530 20383 23980 25790 28369 37060 40766 43843 51580 56738 81532 87686 101915 113476 141845 175372 203830 219215 281111 283690 407660 438430 482273 562222 567380 876860 964546 1124444 1405555 1929092 2411365 2811110 3092221 4778887 4822730 5622220 6184442 9557774 9645460 12368884 15461105 19115548 23894435 30922210 47788870 52567757 61844420 95577740 105135514 210271028 262838785 525677570 1051355140