Search a number
-
+
154410400 = 2552193013
BaseRepresentation
bin10010011010000…
…01110110100000
3101202112212020201
421031001312200
5304012113100
623153314544
73553316044
oct1115016640
9352485221
10154410400
117a184901
1243865a54
1325cb4501
1416716024
15d85136a
hex9341da0

154410400 has 36 divisors (see below), whose sum is σ = 376956342. Its totient is φ = 61763840.

The previous prime is 154410341. The next prime is 154410407. The reversal of 154410400 is 4014451.

It can be written as a sum of positive squares in 3 ways, for example, as 96589584 + 57820816 = 9828^2 + 7604^2 .

It is not an unprimeable number, because it can be changed into a prime (154410407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 95707 + ... + 97306.

Almost surely, 2154410400 is an apocalyptic number.

154410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154410400 is an abundant number, since it is smaller than the sum of its proper divisors (222545942).

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

154410400 is a wasteful number, since it uses less digits than its factorization.

154410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193033 (or 193020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 154410400 is about 12426.1981313675. The cubic root of 154410400 is about 536.4865634519.

Adding to 154410400 its reverse (4014451), we get a palindrome (158424851).

The spelling of 154410400 in words is "one hundred fifty-four million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 193013 386026 772052 965065 1544104 1930130 3088208 3860260 4825325 6176416 7720520 9650650 15441040 19301300 30882080 38602600 77205200 154410400