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1054249716 = 2231321015147
BaseRepresentation
bin111110110101101…
…001001011110100
32201110202102201210
4332311221023310
54124341442331
6252340121420
735060655222
oct7665511364
92643672653
101054249716
114a1107463
12255096270
1313a552a00
14a002db12
156284a446
hex3ed692f4

1054249716 has 72 divisors (see below), whose sum is σ = 2690591904. Its totient is φ = 321110400.

The previous prime is 1054249709. The next prime is 1054249727. The reversal of 1054249716 is 6179424501.

It is a super-2 number, since 2×10542497162 = 2222884927372161312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202255 + ... + 207401.

It is an arithmetic number, because the mean of its divisors is an integer number (37369332).

Almost surely, 21054249716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054249716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345295952).

1054249716 is an abundant number, since it is smaller than the sum of its proper divisors (1636342188).

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

1054249716 is a wasteful number, since it uses less digits than its factorization.

1054249716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1054249716 is about 32469.2118167349. The cubic root of 1054249716 is about 1017.7657477865.

The spelling of 1054249716 in words is "one billion, fifty-four million, two hundred forty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 169 202 303 338 404 507 606 676 1014 1212 1313 2028 2626 3939 5147 5252 7878 10294 15441 15756 17069 20588 30882 34138 51207 61764 66911 68276 102414 133822 200733 204828 267644 401466 519847 802932 869843 1039694 1559541 1739686 2079388 2609529 3119082 3479372 5219058 6238164 6758011 10438116 13516022 20274033 27032044 40548066 81096132 87854143 175708286 263562429 351416572 527124858 1054249716