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1001457006 = 231129351787
BaseRepresentation
bin111011101100010…
…000010101101110
32120210102021202020
4323230100111232
54022333111011
6243212411010
733550146504
oct7354202556
92523367666
101001457006
11474329520
1223b476a66
1312c62a414
149700a674
155cdbd006
hex3bb1056e

1001457006 has 32 divisors (see below), whose sum is σ = 2192496768. Its totient is φ = 302430240.

The previous prime is 1001456983. The next prime is 1001457043. The reversal of 1001457006 is 6007541001.

It is a super-2 number, since 2×10014570062 = 2005832269732968072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6556 + ... + 45231.

It is an arithmetic number, because the mean of its divisors is an integer number (68515524).

Almost surely, 21001457006 is an apocalyptic number.

1001457006 is an abundant number, since it is smaller than the sum of its proper divisors (1191039762).

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

1001457006 is a wasteful number, since it uses less digits than its factorization.

1001457006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52096.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1001457006 is about 31645.8055040475. The cubic root of 1001457006 is about 1000.4854329834.

Adding to 1001457006 its reverse (6007541001), we get a palindrome (7008998007).

The spelling of 1001457006 in words is "one billion, one million, four hundred fifty-seven thousand, six".

Divisors: 1 2 3 6 11 22 33 66 293 586 879 1758 3223 6446 9669 19338 51787 103574 155361 310722 569657 1139314 1708971 3417942 15173591 30347182 45520773 91041546 166909501 333819002 500728503 1001457006