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1000220640 = 253510320231
BaseRepresentation
bin111011100111100…
…010011111100000
32120201002110202220
4323213202133200
54022024030030
6243130111040
733533510106
oct7347423740
92521073686
101000220640
11473664631
1223ab7b480
1312c2b6743
1496ba7c76
155cc26a10
hex3b9e27e0

1000220640 has 96 divisors (see below), whose sum is σ = 3181441536. Its totient is φ = 264122880.

The previous prime is 1000220623. The next prime is 1000220651. The reversal of 1000220640 is 460220001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 39325 + ... + 59555.

It is an arithmetic number, because the mean of its divisors is an integer number (33140016).

Almost surely, 21000220640 is an apocalyptic number.

1000220640 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 1000220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590720768).

1000220640 is an abundant number, since it is smaller than the sum of its proper divisors (2181220896).

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

1000220640 is a wasteful number, since it uses less digits than its factorization.

1000220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1000220640 is about 31626.2650339872. The cubic root of 1000220640 is about 1000.0735412582.

Adding to 1000220640 its reverse (460220001), we get a palindrome (1460440641).

The spelling of 1000220640 in words is "one billion, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 20231 24720 40462 49440 60693 80924 101155 121386 161848 202310 242772 303465 323696 404620 485544 606930 647392 809240 971088 1213860 1618480 1942176 2083793 2427720 3236960 4167586 4855440 6251379 8335172 9710880 10418965 12502758 16670344 20837930 25005516 31256895 33340688 41675860 50011032 62513790 66681376 83351720 100022064 125027580 166703440 200044128 250055160 333406880 500110320 1000220640