Search a number
-
+
241100400 = 24352331607
BaseRepresentation
bin11100101111011…
…10011001110000
3121210200011120110
432113232121300
5443210203100
635531341320
75655214422
oct1627563160
9553604513
10241100400
11114105332
12688b1840
133ac47978
1424040812
1516277250
hexe5ee670

241100400 has 120 divisors (see below), whose sum is σ = 775934464. Its totient is φ = 63993600.

The previous prime is 241100393. The next prime is 241100401. The reversal of 241100400 is 4001142.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396897 + ... + 397503.

Almost surely, 2241100400 is an apocalyptic number.

241100400 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 241100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387967232).

241100400 is an abundant number, since it is smaller than the sum of its proper divisors (534834064).

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

241100400 is a wasteful number, since it uses less digits than its factorization.

241100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

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

The square root of 241100400 is about 15527.4080258104. The cubic root of 241100400 is about 622.3948307032.

Adding to 241100400 its reverse (4001142), we get a palindrome (245101542).

The spelling of 241100400 in words is "two hundred forty-one million, one hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 331 400 600 607 662 993 1200 1214 1324 1655 1821 1986 2428 2648 3035 3310 3642 3972 4856 4965 5296 6070 6620 7284 7944 8275 9105 9712 9930 12140 13240 14568 15175 15888 16550 18210 19860 24280 24825 26480 29136 30350 33100 36420 39720 45525 48560 49650 60700 66200 72840 79440 91050 99300 121400 132400 145680 182100 198600 200917 242800 364200 397200 401834 602751 728400 803668 1004585 1205502 1607336 2009170 2411004 3013755 3214672 4018340 4822008 5022925 6027510 8036680 9644016 10045850 12055020 15068775 16073360 20091700 24110040 30137550 40183400 48220080 60275100 80366800 120550200 241100400