Search a number
-
+
154117740 = 223572193189
BaseRepresentation
bin10010010111110…
…10011001101100
3101201222222210110
421023322121230
5303423231430
623143140020
73550656600
oct1113723154
9351888713
10154117740
1179aa4a37
1243744610
1325c1123a
141667b500
15d7e47b0
hex92fa66c

154117740 has 288 divisors, whose sum is σ = 551577600. Its totient is φ = 31933440.

The previous prime is 154117727. The next prime is 154117751. The reversal of 154117740 is 47711451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 154117698 and 154117707.

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, 1731616 + ... + 1731704.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2154117740 is an apocalyptic number.

154117740 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 154117740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

154117740 is an abundant number, since it is smaller than the sum of its proper divisors (397459860).

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

154117740 is a wasteful number, since it uses less digits than its factorization.

154117740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 154117740 is about 12414.4166193986. The cubic root of 154117740 is about 536.1474078493.

The spelling of 154117740 in words is "one hundred fifty-four million, one hundred seventeen thousand, seven hundred forty".