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119409472 = 26721329101
BaseRepresentation
bin1110001111000…
…00101101000000
322022200122000001
413013200231000
5221032100342
615503205344
72646651400
oct707405500
9268618001
10119409472
1161449116
1233ba6854
131b97b1c0
1411c04800
15a73a8b7
hex71e0b40

119409472 has 168 divisors, whose sum is σ = 310118760. Its totient is φ = 45158400.

The previous prime is 119409463. The next prime is 119409497. The reversal of 119409472 is 274904911.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 91699776 = 5264^2 + 9576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182222 + ... + 1182322.

It is an arithmetic number, because the mean of its divisors is an integer number (1845945).

Almost surely, 2119409472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155059380).

119409472 is an abundant number, since it is smaller than the sum of its proper divisors (190709288).

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

119409472 is a wasteful number, since it uses less digits than its factorization.

119409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 119409472 is about 10927.4641157041. The cubic root of 119409472 is about 492.4319910901.

It can be divided in two parts, 11940 and 9472, that added together give a palindrome (21412).

The spelling of 119409472 in words is "one hundred nineteen million, four hundred nine thousand, four hundred seventy-two".