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20100432 = 2431138069
BaseRepresentation
bin100110010101…
…1010101010000
31101211012121110
41030223111100
520121203212
61554453320
7332564562
oct114532520
941735543
1020100432
1110389830
126894240
13421a061
142953332
151b70a3c
hex132b550

20100432 has 40 divisors (see below), whose sum is σ = 56648160. Its totient is φ = 6090880.

The previous prime is 20100419. The next prime is 20100433. The reversal of 20100432 is 23400102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100433) 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 7 ways as a sum of consecutive naturals, for example, 18507 + ... + 19562.

It is an arithmetic number, because the mean of its divisors is an integer number (1416204).

Almost surely, 220100432 is an apocalyptic number.

20100432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20100432 is an abundant number, since it is smaller than the sum of its proper divisors (36547728).

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

20100432 is a wasteful number, since it uses less digits than its factorization.

20100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38091 (or 38085 counting only the distinct ones).

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

The square root of 20100432 is about 4483.3505328047. The cubic root of 20100432 is about 271.8953605573.

Adding to 20100432 its reverse (23400102), we get a palindrome (43500534).

The spelling of 20100432 in words is "twenty million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 38069 76138 114207 152276 228414 304552 418759 456828 609104 837518 913656 1256277 1675036 1827312 2512554 3350072 5025108 6700144 10050216 20100432