Search a number
-
+
154349840 = 24515712289
BaseRepresentation
bin10010011001100…
…11000100010000
3101202102210011202
421030303010100
5304003143330
623152130332
73552644351
oct1114630420
9352383152
10154349840
117a143357
12438369a8
1325c92a88
14166dbd28
15d83d445
hex9333110

154349840 has 40 divisors (see below), whose sum is σ = 361178520. Its totient is φ = 61341696.

The previous prime is 154349821. The next prime is 154349857. The reversal of 154349840 is 48943451.

154349840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21270544 + 133079296 = 4612^2 + 11536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 154349794 and 154349803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6416 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (9029463).

Almost surely, 2154349840 is an apocalyptic number.

154349840 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 154349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180589260).

154349840 is an abundant number, since it is smaller than the sum of its proper divisors (206828680).

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

154349840 is a wasteful number, since it uses less digits than its factorization.

154349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 154349840 is about 12423.7611052370. The cubic root of 154349840 is about 536.4164173247.

The spelling of 154349840 in words is "one hundred fifty-four million, three hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12289 12560 24578 49156 61445 98312 122890 196624 245780 491560 983120 1929373 3858746 7717492 9646865 15434984 19293730 30869968 38587460 77174920 154349840