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1054151916 = 2232331112281
BaseRepresentation
bin111110110101010…
…001010011101100
32201110120110120120
4332311101103230
54124330330131
6252334044540
735060100126
oct7665212354
92643513516
101054151916
114a104aa34
12255049750
1313a51a33c
14a0006216
156282b496
hex3ed514ec

1054151916 has 48 divisors (see below), whose sum is σ = 2575093248. Its totient is φ = 334998400.

The previous prime is 1054151899. The next prime is 1054151933. The reversal of 1054151916 is 6191514501.

It is an interprime number because it is at equal distance from previous prime (1054151899) and next prime (1054151933).

It is a super-2 number, since 2×10541519162 = 2222472524012942112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79696 + ... + 91976.

It is an arithmetic number, because the mean of its divisors is an integer number (53647776).

Almost surely, 21054151916 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 1054151916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287546624).

1054151916 is an abundant number, since it is smaller than the sum of its proper divisors (1520941332).

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

1054151916 is a wasteful number, since it uses less digits than its factorization.

1054151916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The square root of 1054151916 is about 32467.7057397039. The cubic root of 1054151916 is about 1017.7342749875.

The spelling of 1054151916 in words is "one billion, fifty-four million, one hundred fifty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 311 622 933 1244 1866 3732 7153 12281 14306 21459 24562 28612 36843 42918 49124 73686 85836 147372 282463 564926 847389 1129852 1694778 3389556 3819391 7638782 11458173 15277564 22916346 45832692 87845993 175691986 263537979 351383972 527075958 1054151916