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1000660672 = 26111817853
BaseRepresentation
bin111011101001001…
…101111011000000
32120201220211101101
4323221031323000
54022132120142
6243143344144
733540322024
oct7351157300
92521824341
101000660672
114739351a0
1223b152054
1312c40bb0b
1496c80384
155ccb20b7
hex3ba4dec0

1000660672 has 56 divisors (see below), whose sum is σ = 2178448272. Its totient is φ = 452275200.

The previous prime is 1000660663. The next prime is 1000660693. The reversal of 1000660672 is 2760660001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000660672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123498 + ... + 131350.

It is an arithmetic number, because the mean of its divisors is an integer number (38900862).

Almost surely, 21000660672 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 1000660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089224136).

1000660672 is an abundant number, since it is smaller than the sum of its proper divisors (1177787600).

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

1000660672 is a wasteful number, since it uses less digits than its factorization.

1000660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8057 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1000660672 is about 31633.2210184167. The cubic root of 1000660672 is about 1000.2201755192.

The spelling of 1000660672 in words is "one billion, six hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 181 352 362 704 724 1448 1991 2896 3982 5792 7853 7964 11584 15706 15928 31412 31856 62824 63712 86383 125648 127424 172766 251296 345532 502592 691064 1382128 1421393 2764256 2842786 5528512 5685572 11371144 15635323 22742288 31270646 45484576 62541292 90969152 125082584 250165168 500330336 1000660672