Search a number
-
+
63041400 = 23325235023
BaseRepresentation
bin1111000001111…
…0111101111000
311101121211112200
43300132331320
5112114311100
610131110200
71363562112
oct360367570
9141554480
1063041400
1132648a34
1219142360
13100a3406
1485303b2
155803e00
hex3c1ef78

63041400 has 72 divisors (see below), whose sum is σ = 211720080. Its totient is φ = 16810560.

The previous prime is 63041399. The next prime is 63041401. The reversal of 63041400 is 414036.

It is an interprime number because it is at equal distance from previous prime (63041399) and next prime (63041401).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×630414002 = 7948436227920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63041401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15712 + ... + 19311.

Almost surely, 263041400 is an apocalyptic number.

63041400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63041400 is an abundant number, since it is smaller than the sum of its proper divisors (148678680).

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

63041400 is a wasteful number, since it uses less digits than its factorization.

63041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35045 (or 35033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 63041400 is about 7939.8614597485. The cubic root of 63041400 is about 397.9928620051.

Adding to 63041400 its reverse (414036), we get a palindrome (63455436).

The spelling of 63041400 in words is "sixty-three million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 35023 70046 105069 140092 175115 210138 280184 315207 350230 420276 525345 630414 700460 840552 875575 1050690 1260828 1400920 1576035 1751150 2101380 2521656 2626725 3152070 3502300 4202760 5253450 6304140 7004600 7880175 10506900 12608280 15760350 21013800 31520700 63041400