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154428900 = 223522322381
BaseRepresentation
bin10010011010001…
…10010111100100
3101202120210121220
421031012113210
5304013211100
623153540340
73553424013
oct1115062744
9352523556
10154428900
117a19779a
12438746b0
1325cbca62
141671ca7a
15d856aa0
hex93465e4

154428900 has 72 divisors (see below), whose sum is σ = 466261824. Its totient is φ = 39388800.

The previous prime is 154428893. The next prime is 154428907. The reversal of 154428900 is 9824451.

It is an interprime number because it is at equal distance from previous prime (154428893) and next prime (154428907).

It is a super-3 number, since 3×1544289003 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (154428907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4291 + ... + 18090.

Almost surely, 2154428900 is an apocalyptic number.

154428900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154428900 is an abundant number, since it is smaller than the sum of its proper divisors (311832924).

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

154428900 is a wasteful number, since it uses less digits than its factorization.

154428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22421 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 154428900 is about 12426.9425040917. The cubic root of 154428900 is about 536.5079881856.

It can be divided in two parts, 15442 and 8900, that added together give a palindrome (24342).

The spelling of 154428900 in words is "one hundred fifty-four million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 22381 44762 67143 89524 111905 134286 223810 268572 335715 447620 514763 559525 671430 1029526 1119050 1342860 1544289 1678575 2059052 2238100 2573815 3088578 3357150 5147630 6177156 6714300 7721445 10295260 12869075 15442890 25738150 30885780 38607225 51476300 77214450 154428900