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201041040 = 24354120431
BaseRepresentation
bin10111111101110…
…10010010010000
3112000021221110110
423332322102100
5402431303130
631541001320
74660551324
oct1376722220
9460257413
10201041040
11a3534122
12573b3240
13328600c5
141c9b3984
15129b2ab0
hexbfba490

201041040 has 80 divisors (see below), whose sum is σ = 638459136. Its totient is φ = 52300800.

The previous prime is 201040991. The next prime is 201041041. The reversal of 201041040 is 40140102.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (201041041) 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, 376 + ... + 20055.

Almost surely, 2201041040 is an apocalyptic number.

201041040 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 201041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319229568).

201041040 is an abundant number, since it is smaller than the sum of its proper divisors (437418096).

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

201041040 is a wasteful number, since it uses less digits than its factorization.

201041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20488 (or 20482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 201041040 is about 14178.8941740885. The cubic root of 201041040 is about 585.8164653325.

Adding to 201041040 its reverse (40140102), we get a palindrome (241181142).

The spelling of 201041040 in words is "two hundred one million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 20431 40862 61293 81724 102155 122586 163448 204310 245172 306465 326896 408620 490344 612930 817240 837671 980688 1225860 1634480 1675342 2451720 2513013 3350684 4188355 4903440 5026026 6701368 8376710 10052052 12565065 13402736 16753420 20104104 25130130 33506840 40208208 50260260 67013680 100520520 201041040