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10432002 = 237337137
BaseRepresentation
bin100111110010…
…111000000010
3201122000000110
4213302320002
510132311002
61011332150
7154446000
oct47627002
921560013
1010432002
115985799
1235b1056
1322133a9
141557a70
15db0e6c
hex9f2e02

10432002 has 64 divisors (see below), whose sum is σ = 25171200. Its totient is φ = 2878848.

The previous prime is 10432001. The next prime is 10432003. The reversal of 10432002 is 20023401.

It is an interprime number because it is at equal distance from previous prime (10432001) and next prime (10432003).

It is not an unprimeable number, because it can be changed into a prime (10432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76078 + ... + 76214.

It is an arithmetic number, because the mean of its divisors is an integer number (393300).

Almost surely, 210432002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585600).

10432002 is an abundant number, since it is smaller than the sum of its proper divisors (14739198).

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

10432002 is a wasteful number, since it uses less digits than its factorization.

10432002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10432002 is about 3229.8609877207. The cubic root of 10432002 is about 218.5022368148.

Adding to 10432002 its reverse (20023401), we get a palindrome (30455403).

The spelling of 10432002 in words is "ten million, four hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 137 147 222 259 274 294 343 411 518 686 777 822 959 1029 1554 1813 1918 2058 2877 3626 5069 5439 5754 6713 10138 10878 12691 13426 15207 20139 25382 30414 35483 38073 40278 46991 70966 76146 93982 106449 140973 212898 248381 281946 496762 745143 1490286 1738667 3477334 5216001 10432002