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1001056056 = 2337111341669
BaseRepresentation
bin111011101010101…
…110011100111000
32120202122220202020
4323222232130320
54022232243211
6243200034440
733543556530
oct7352563470
92522586666
101001056056
11474085260
1223b302a20
1312c519a80
1496d444c0
155cd3e306
hex3baae738

1001056056 has 128 divisors (see below), whose sum is σ = 3360268800. Its totient is φ = 240007680.

The previous prime is 1001055989. The next prime is 1001056087. The reversal of 1001056056 is 6506501001.

It is a super-2 number, since 2×10010560562 = 2004226454508550272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3190 + ... + 44858.

It is an arithmetic number, because the mean of its divisors is an integer number (26252100).

Almost surely, 21001056056 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 1001056056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680134400).

1001056056 is an abundant number, since it is smaller than the sum of its proper divisors (2359212744).

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

1001056056 is a wasteful number, since it uses less digits than its factorization.

1001056056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41709 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1001056056 is about 31639.4699070639. The cubic root of 1001056056 is about 1000.3518948222.

Adding to 1001056056 its reverse (6506501001), we get a palindrome (7507557057).

It can be divided in two parts, 10010 and 56056, that added together give a palindrome (66066).

The spelling of 1001056056 in words is "one billion, one million, fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 41669 83338 125007 166676 250014 291683 333352 458359 500028 541697 583366 875049 916718 1000056 1083394 1166732 1375077 1625091 1750098 1833436 2166788 2333464 2750154 3208513 3250182 3500196 3666872 3791879 4333576 5500308 5958667 6417026 6500364 7000392 7583758 9625539 11000616 11375637 11917334 12834052 13000728 15167516 17876001 19251078 22751274 23834668 25668104 30335032 35752002 38502156 41710669 45502548 47669336 71504004 77004312 83421338 91005096 125132007 143008008 166842676 250264014 333685352 500528028 1001056056