Search a number
-
+
120047400 = 233352114347
BaseRepresentation
bin1110010011111…
…00011100101000
322100220001002000
413021330130220
5221213004100
615525011000
72655246264
oct711743450
9270801060
10120047400
1161844430
1234253a60
131bb42685
1411d2d0a4
15a814900
hex727c728

120047400 has 384 divisors, whose sum is σ = 471398400. Its totient is φ = 27820800.

The previous prime is 120047399. The next prime is 120047479. The reversal of 120047400 is 4740021.

It is a happy number.

It is a super-2 number, since 2×1200474002 = 28822756493520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2554177 + ... + 2554223.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2120047400 is an apocalyptic number.

120047400 is a gapful number since it is divisible by the number (10) 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 120047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

120047400 is an abundant number, since it is smaller than the sum of its proper divisors (351351000).

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

120047400 is a wasteful number, since it uses less digits than its factorization.

120047400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 120047400 is about 10956.6144406016. The cubic root of 120047400 is about 493.3073499017.

Adding to 120047400 its reverse (4740021), we get a palindrome (124787421).

The spelling of 120047400 in words is "one hundred twenty million, forty-seven thousand, four hundred".