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201030040 = 23531223727
BaseRepresentation
bin10111111101101…
…11100110011000
3112000021101101001
423332313212120
5402430430130
631540434344
74660504261
oct1376674630
9460241331
10201030040
11a3526932
12573a89b4
13328580b3
141c9ad968
15129ae6ca
hexbfb7998

201030040 has 64 divisors (see below), whose sum is σ = 469647360. Its totient is φ = 77362560.

The previous prime is 201030023. The next prime is 201030041. The reversal of 201030040 is 40030102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201029999 and 201030026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201030041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276157 + ... + 276883.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2201030040 is an apocalyptic number.

201030040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

201030040 is an abundant number, since it is smaller than the sum of its proper divisors (268617320).

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

201030040 is a wasteful number, since it uses less digits than its factorization.

201030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201030040 is about 14178.5062682922. The cubic root of 201030040 is about 585.8057807833.

Adding to 201030040 its reverse (40030102), we get a palindrome (241060142).

The spelling of 201030040 in words is "two hundred one million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 223 248 310 446 620 727 892 1115 1240 1454 1784 2230 2908 3635 4460 5816 6913 7270 8920 13826 14540 22537 27652 29080 34565 45074 55304 69130 90148 112685 138260 162121 180296 225370 276520 324242 450740 648484 810605 901480 1296968 1621210 3242420 5025751 6484840 10051502 20103004 25128755 40206008 50257510 100515020 201030040