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424641120 = 2535884669
BaseRepresentation
bin11001010011111…
…000001001100000
31002121001000002220
4121103320021200
51332202003440
6110045311040
713344250521
oct3123701140
91077030086
10424641120
111a8776182
12ba265480
1369c8b347
144057a848
152742e8d0
hex194f8260

424641120 has 48 divisors (see below), whose sum is σ = 1337621040. Its totient is φ = 113237504.

The previous prime is 424641101. The next prime is 424641121. The reversal of 424641120 is 21146424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424641121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441855 + ... + 442814.

It is an arithmetic number, because the mean of its divisors is an integer number (27867105).

Almost surely, 2424641120 is an apocalyptic number.

424641120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424641120 is an abundant number, since it is smaller than the sum of its proper divisors (912979920).

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

424641120 is a wasteful number, since it uses less digits than its factorization.

424641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884687 (or 884679 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 424641120 is about 20606.8221713102. The cubic root of 424641120 is about 751.6356126576.

Adding to 424641120 its reverse (21146424), we get a palindrome (445787544).

The spelling of 424641120 in words is "four hundred twenty-four million, six hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 884669 1769338 2654007 3538676 4423345 5308014 7077352 8846690 10616028 13270035 14154704 17693380 21232056 26540070 28309408 35386760 42464112 53080140 70773520 84928224 106160280 141547040 212320560 424641120