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10020032 = 261143331
BaseRepresentation
bin100110001110…
…010011000000
3200212001220022
4212032103000
510031120112
6554433012
7151111631
oct46162300
920761808
1010020032
115724220
123432768
1320caa19
14148b888
15d2dd72
hex98e4c0

10020032 has 56 divisors (see below), whose sum is σ = 22262592. Its totient is φ = 4435200.

The previous prime is 10020013. The next prime is 10020041. The reversal of 10020032 is 23002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 30107 + ... + 30437.

Almost surely, 210020032 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 10020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11131296).

10020032 is an abundant number, since it is smaller than the sum of its proper divisors (12242560).

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

10020032 is a wasteful number, since it uses less digits than its factorization.

10020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10020032 is about 3165.4434128570. The cubic root of 10020032 is about 215.5872318363.

Adding to 10020032 its reverse (23002001), we get a palindrome (33022033).

The spelling of 10020032 in words is "ten million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 331 344 352 473 662 688 704 946 1324 1376 1892 2648 2752 3641 3784 5296 7282 7568 10592 14233 14564 15136 21184 28466 29128 30272 56932 58256 113864 116512 156563 227728 233024 313126 455456 626252 910912 1252504 2505008 5010016 10020032