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145424300 = 22527832503
BaseRepresentation
bin10001010101011…
…11111110101100
3101010122022122012
420222233332230
5244212034200
622232540352
73414041360
oct1052577654
9333568565
10145424300
11750a747a
12408516b8
13241892a8
14154572a0
15cb78a35
hex8aaffac

145424300 has 72 divisors (see below), whose sum is σ = 365143296. Its totient is φ = 49239360.

The previous prime is 145424263. The next prime is 145424327. The reversal of 145424300 is 3424541.

It is a super-2 number, since 2×1454243002 = 42296454060980000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56849 + ... + 59351.

Almost surely, 2145424300 is an apocalyptic number.

145424300 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 145424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182571648).

145424300 is an abundant number, since it is smaller than the sum of its proper divisors (219718996).

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

145424300 is a wasteful number, since it uses less digits than its factorization.

145424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145424300 is about 12059.1998076158. The cubic root of 145424300 is about 525.8707243977.

Adding to 145424300 its reverse (3424541), we get a palindrome (148848841).

The spelling of 145424300 in words is "one hundred forty-five million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2503 2905 4150 5006 5810 8300 10012 11620 12515 14525 17521 25030 29050 35042 50060 58100 62575 70084 87605 125150 175210 207749 250300 350420 415498 438025 830996 876050 1038745 1454243 1752100 2077490 2908486 4154980 5193725 5816972 7271215 10387450 14542430 20774900 29084860 36356075 72712150 145424300