Search a number
-
+
74469120 = 2835114143
BaseRepresentation
bin1000111000001…
…00111100000000
312012010102102120
410130010330000
5123031002440
611220044240
71562656065
oct434047400
9165112376
1074469120
1139043830
1220b33680
1312574a8b
149c66c6c
15680edd0
hex4704f00

74469120 has 288 divisors, whose sum is σ = 271966464. Its totient is φ = 17203200.

The previous prime is 74469119. The next prime is 74469149. The reversal of 74469120 is 2196447.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731819 + ... + 1731861.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 274469120 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 74469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983232).

74469120 is an abundant number, since it is smaller than the sum of its proper divisors (197497344).

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

74469120 is a wasteful number, since it uses less digits than its factorization.

74469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 74469120 is about 8629.5492350412. The cubic root of 74469120 is about 420.7189500153.

The spelling of 74469120 in words is "seventy-four million, four hundred sixty-nine thousand, one hundred twenty".