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1051618420 = 2252347127383
BaseRepresentation
bin111110101011100…
…110110001110100
32201021210202021101
4332223212301310
54123203242140
6252203455444
735026415626
oct7653466164
92637722241
101051618420
1149a67a536
12254227584
13139b41128
149d946c16
15624ca99a
hex3eae6c74

1051618420 has 96 divisors (see below), whose sum is σ = 2378170368. Its totient is φ = 389676672.

The previous prime is 1051618411. The next prime is 1051618423. The reversal of 1051618420 is 248161501.

It is a super-2 number, since 2×10516184202 = 2211802602566592800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051618423) 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, 2745549 + ... + 2745931.

It is an arithmetic number, because the mean of its divisors is an integer number (24772608).

Almost surely, 21051618420 is an apocalyptic number.

1051618420 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 1051618420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189085184).

1051618420 is an abundant number, since it is smaller than the sum of its proper divisors (1326551948).

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

1051618420 is a wasteful number, since it uses less digits than its factorization.

1051618420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1051618420 is about 32428.6666392561. Note that the first 4 decimals coincide. The cubic root of 1051618420 is about 1016.9182970569.

Adding to 1051618420 its reverse (248161501), we get a palindrome (1299779921).

The spelling of 1051618420 in words is "one billion, fifty-one million, six hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 127 188 230 235 254 383 460 470 508 635 766 940 1081 1270 1532 1915 2162 2540 2921 3830 4324 5405 5842 5969 7660 8809 10810 11684 11938 14605 17618 18001 21620 23876 29210 29845 35236 36002 44045 48641 58420 59690 72004 88090 90005 97282 119380 137287 176180 180010 194564 243205 274574 360020 414023 486410 549148 686435 828046 972820 1118743 1372870 1656092 2070115 2237486 2286127 2745740 4140230 4474972 4572254 5593715 8280460 9144508 11187430 11430635 22374860 22861270 45722540 52580921 105161842 210323684 262904605 525809210 1051618420