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154230400 = 275248197
BaseRepresentation
bin10010011000101…
…01111010000000
3101202012201100001
421030111322000
5303440333100
623145405344
73551636212
oct1114257200
9352181301
10154230400
117a071645
1243799854
1325c505bc
14166aa5b2
15d817d6a
hex9315e80

154230400 has 48 divisors (see below), whose sum is σ = 381005190. Its totient is φ = 61690880.

The previous prime is 154230367. The next prime is 154230413. The reversal of 154230400 is 4032451.

It can be written as a sum of positive squares in 3 ways, for example, as 134374464 + 19855936 = 11592^2 + 4456^2 .

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 5 ways as a sum of consecutive naturals, for example, 20899 + ... + 27298.

Almost surely, 2154230400 is an apocalyptic number.

154230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154230400 is an abundant number, since it is smaller than the sum of its proper divisors (226774790).

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

154230400 is an equidigital number, since it uses as much as digits as its factorization.

154230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48221 (or 48204 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 154230400 is about 12418.9532570181. The cubic root of 154230400 is about 536.2780172023.

Adding to 154230400 its reverse (4032451), we get a palindrome (158262851).

The spelling of 154230400 in words is "one hundred fifty-four million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 48197 96394 192788 240985 385576 481970 771152 963940 1204925 1542304 1927880 2409850 3084608 3855760 4819700 6169216 7711520 9639400 15423040 19278800 30846080 38557600 77115200 154230400