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1054099728 = 243211260497
BaseRepresentation
bin111110110101000…
…100100100010000
32201110110210222200
4332311010210100
54124322142403
6252333003200
735056462023
oct7665044420
92643423880
101054099728
114a1014800
12255023500
1313a4cc666
149ddd11ba
156281aca3
hex3ed44910

1054099728 has 90 divisors (see below), whose sum is σ = 3242632302. Its totient is φ = 319418880.

The previous prime is 1054099699. The next prime is 1054099741. The reversal of 1054099728 is 8279904501.

1054099728 is a `hidden beast` number, since 10 + 540 + 9 + 97 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1037355264 + 16744464 = 32208^2 + 4092^2 .

It is a super-2 number, since 2×10540997282 = 2222252473139347968, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12825 + ... + 47672.

Almost surely, 21054099728 is an apocalyptic number.

1054099728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1054099728 is an abundant number, since it is smaller than the sum of its proper divisors (2188532574).

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

1054099728 is a wasteful number, since it uses less digits than its factorization.

1054099728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60533 (or 60513 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1054099728 is about 32466.9020388457. The cubic root of 1054099728 is about 1017.7174796876.

The spelling of 1054099728 in words is "one billion, fifty-four million, ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 60497 120994 181491 241988 362982 483976 544473 665467 725964 967952 1088946 1330934 1451928 1996401 2177892 2661868 2903856 3992802 4355784 5323736 5989203 7320137 7985604 8711568 10647472 11978406 14640274 15971208 21960411 23956812 29280548 31942416 43920822 47913624 58561096 65881233 87841644 95827248 117122192 131762466 175683288 263524932 351366576 527049864 1054099728