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1056639000 = 23353438191
BaseRepresentation
bin111110111110110…
…000100000011000
32201122020211012210
4332332300200120
54130444422000
6252503235120
735120166114
oct7676604030
92648224183
101056639000
114a249957a
12255a48aa0
1313abab3a1
14a0492744
1562b6d350
hex3efb0818

1056639000 has 128 divisors (see below), whose sum is σ = 3373793280. Its totient is φ = 275184000.

The previous prime is 1056638981. The next prime is 1056639019. The reversal of 1056639000 is 9366501.

It is a happy number.

1056639000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1056638981) and next prime (1056639019).

It is a super-2 number, since 2×10566390002 = 2232971952642000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124905 + ... + 133095.

It is an arithmetic number, because the mean of its divisors is an integer number (26357760).

Almost surely, 21056639000 is an apocalyptic number.

1056639000 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 1056639000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686896640).

1056639000 is an abundant number, since it is smaller than the sum of its proper divisors (2317154280).

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

1056639000 is a wasteful number, since it uses less digits than its factorization.

1056639000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1056639000 is about 32505.9840644765. The cubic root of 1056639000 is about 1018.5340340377.

The spelling of 1056639000 in words is "one billion, fifty-six million, six hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8191 8600 10750 12900 16125 16382 21500 24573 25800 32250 32764 40955 43000 49146 64500 65528 81910 98292 122865 129000 163820 196584 204775 245730 327640 352213 409550 491460 614325 704426 819100 982920 1023875 1056639 1228650 1408852 1638200 1761065 2047750 2113278 2457300 2817704 3071625 3522130 4095500 4226556 4914600 5283195 6143250 7044260 8191000 8453112 8805325 10566390 12286500 14088520 17610650 21132780 24573000 26415975 35221300 42265560 44026625 52831950 70442600 88053250 105663900 132079875 176106500 211327800 264159750 352213000 528319500 1056639000