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1054088316 = 22351278539
BaseRepresentation
bin111110110101000…
…001110001111100
32201110110020100000
4332311001301330
54124321311231
6252332434300
735056413531
oct7665016174
92643406300
101054088316
114a1007176
12255018990
1313a4c73c8
149ddcad88
15628176e6
hex3ed41c7c

1054088316 has 72 divisors (see below), whose sum is σ = 2785269760. Its totient is φ = 348555312.

The previous prime is 1054088279. The next prime is 1054088333. The reversal of 1054088316 is 6138804501.

1054088316 is a `hidden beast` number, since 1 + 0 + 540 + 88 + 31 + 6 = 666.

It is a super-2 number, since 2×10540883162 = 2222204355855431712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 119175 + ... + 127713.

Almost surely, 21054088316 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 1054088316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392634880).

1054088316 is an abundant number, since it is smaller than the sum of its proper divisors (1731181444).

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

1054088316 is a wasteful number, since it uses less digits than its factorization.

1054088316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1054088316 is about 32466.7262901574. The cubic root of 1054088316 is about 1017.7138069694.

The spelling of 1054088316 in words is "one billion, fifty-four million, eighty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 243 254 324 381 486 508 762 972 1143 1524 2286 3429 4572 6858 8539 10287 13716 17078 20574 25617 30861 34156 41148 51234 61722 76851 102468 123444 153702 230553 307404 461106 691659 922212 1084453 1383318 2074977 2168906 2766636 3253359 4149954 4337812 6506718 8299908 9760077 13013436 19520154 29280231 39040308 58560462 87840693 117120924 175681386 263522079 351362772 527044158 1054088316