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202130032 = 24137912301
BaseRepresentation
bin11000000110001…
…00001001110000
3112002100021021111
430003010021300
5403221130112
632020203104
75003035246
oct1403041160
9462307244
10202130032
11a4108315
1257839494
1332b51990
141cbb8796
1512b2a5a7
hexc0c4270

202130032 has 40 divisors (see below), whose sum is σ = 427125440. Its totient is φ = 92102400.

The previous prime is 202130023. The next prime is 202130039. The reversal of 202130032 is 230031202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 202129994 and 202130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202130039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10282 + ... + 22582.

It is an arithmetic number, because the mean of its divisors is an integer number (10678136).

Almost surely, 2202130032 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 202130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213562720).

202130032 is an abundant number, since it is smaller than the sum of its proper divisors (224995408).

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

202130032 is a wasteful number, since it uses less digits than its factorization.

202130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 202130032 is about 14217.2441774065. The cubic root of 202130032 is about 586.8723045186.

Adding to 202130032 its reverse (230031202), we get a palindrome (432161234).

The spelling of 202130032 in words is "two hundred two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 8216 12301 16432 24602 49204 98408 159913 196816 319826 639652 971779 1279304 1943558 2558608 3887116 7774232 12633127 15548464 25266254 50532508 101065016 202130032