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10070032 = 247471913
BaseRepresentation
bin100110011010…
…100000010000
3200221121111011
4212122200100
510034220112
6555500304
7151410460
oct46324020
920847434
1010070032
115758845
123457694
1321176cb
1414a1ba0
15d3daa7
hex99a810

10070032 has 40 divisors (see below), whose sum is σ = 22784256. Its totient is φ = 4221696.

The previous prime is 10070029. The next prime is 10070059. The reversal of 10070032 is 23007001.

It is a junction number, because it is equal to n+sod(n) for n = 10069994 and 10070021.

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, 4308 + ... + 6220.

Almost surely, 210070032 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 10070032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392128).

10070032 is an abundant number, since it is smaller than the sum of its proper divisors (12714224).

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

10070032 is a wasteful number, since it uses less digits than its factorization.

10070032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10070032 is about 3173.3313725484. The cubic root of 10070032 is about 215.9452307411.

Adding to 10070032 its reverse (23007001), we get a palindrome (33077033).

The spelling of 10070032 in words is "ten million, seventy thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 1913 2632 3826 5264 7652 13391 15304 26782 30608 53564 89911 107128 179822 214256 359644 629377 719288 1258754 1438576 2517508 5035016 10070032