Search a number
-
+
202043400 = 233521325903
BaseRepresentation
bin11000000101011…
…11000000001000
3112002011212102220
430002233000020
5403210342100
632014254040
75002224546
oct1402570010
9462155386
10202043400
11a4059219
12577b7320
1332b21410
141cb94d96
1512b0eaa0
hexc0af008

202043400 has 96 divisors (see below), whose sum is σ = 674540160. Its totient is φ = 49731840.

The previous prime is 202043389. The next prime is 202043423. The reversal of 202043400 is 4340202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202043400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152 + ... + 20751.

It is an arithmetic number, because the mean of its divisors is an integer number (7026460).

Almost surely, 2202043400 is an apocalyptic number.

202043400 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 202043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337270080).

202043400 is an abundant number, since it is smaller than the sum of its proper divisors (472496760).

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

202043400 is a wasteful number, since it uses less digits than its factorization.

202043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 202043400 is about 14214.1971282236. The cubic root of 202043400 is about 586.7884489492.

Adding to 202043400 its reverse (4340202), we get a palindrome (206383602).

The spelling of 202043400 in words is "two hundred two million, forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 25903 51806 77709 103612 129515 155418 207224 259030 310836 336739 388545 518060 621672 647575 673478 777090 1010217 1036120 1295150 1346956 1554180 1683695 1942725 2020434 2590300 2693912 3108360 3367390 3885450 4040868 5051085 5180600 6734780 7770900 8081736 8418475 10102170 13469560 15541800 16836950 20204340 25255425 33673900 40408680 50510850 67347800 101021700 202043400