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8007054 = 2311241269
BaseRepresentation
bin11110100010110110001110
3120001210121120
4132202312032
54022211204
6443341410
7125026116
oct36426616
916053546
108007054
114579900
122821866
131874703
1410c6046
15a826d9
hex7a2d8e

8007054 has 48 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 2358400.

The previous prime is 8007053. The next prime is 8007071. The reversal of 8007054 is 4507008.

It is a super-2 number, since 2×80070542 = 128225827517832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29632 + ... + 29900.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 28007054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

8007054 is an abundant number, since it is smaller than the sum of its proper divisors (10091586).

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

8007054 is a wasteful number, since it uses less digits than its factorization.

8007054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 8007054 is about 2829.6738327942. The cubic root of 8007054 is about 200.0587660644.

The spelling of 8007054 in words is "eight million, seven thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 269 363 451 538 726 807 902 1353 1614 2706 2959 4961 5918 8877 9922 11029 14883 17754 22058 29766 32549 33087 65098 66174 97647 121319 195294 242638 363957 727914 1334509 2669018 4003527 8007054