Search a number
-
+
202031040 = 2635389541
BaseRepresentation
bin11000000101010…
…11111111000000
3112002011020111010
430002223333000
5403204443130
632014120520
75002143531
oct1402537700
9462136433
10202031040
11a404aa02
12577b0140
1332b188c3
141cb90688
1512b0b0b0
hexc0abfc0

202031040 has 112 divisors (see below), whose sum is σ = 644286240. Its totient is φ = 53637120.

The previous prime is 202031033. The next prime is 202031107. The reversal of 202031040 is 40130202.

It is a super-2 number, since 2×2020310402 = 81633082246963200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373170 + ... + 373710.

Almost surely, 2202031040 is an apocalyptic number.

202031040 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 202031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322143120).

202031040 is an abundant number, since it is smaller than the sum of its proper divisors (442255200).

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

202031040 is a wasteful number, since it uses less digits than its factorization.

202031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 940 counting only the distinct ones).

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

The square root of 202031040 is about 14213.7623449951. The cubic root of 202031040 is about 586.7764831156.

Adding to 202031040 its reverse (40130202), we get a palindrome (242161242).

The spelling of 202031040 in words is "two hundred two million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 389 480 541 778 960 1082 1167 1556 1623 1945 2164 2334 2705 3112 3246 3890 4328 4668 5410 5835 6224 6492 7780 8115 8656 9336 10820 11670 12448 12984 15560 16230 17312 18672 21640 23340 24896 25968 31120 32460 34624 37344 43280 46680 51936 62240 64920 74688 86560 93360 103872 124480 129840 173120 186720 210449 259680 373440 420898 519360 631347 841796 1052245 1262694 1683592 2104490 2525388 3156735 3367184 4208980 5050776 6313470 6734368 8417960 10101552 12626940 13468736 16835920 20203104 25253880 33671840 40406208 50507760 67343680 101015520 202031040