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145421200 = 24522111723
BaseRepresentation
bin10001010101011…
…11001110010000
3101010122011101101
420222233032100
5244211434300
622232514144
73414026341
oct1052571620
9333564341
10145421200
11750a5111
124084b954
1324187a62
14154560c8
15cb77b6a
hex8aaf390

145421200 has 60 divisors (see below), whose sum is σ = 351233968. Its totient is φ = 57859200.

The previous prime is 145421197. The next prime is 145421233. The reversal of 145421200 is 2124541.

It is a super-2 number, since 2×1454212002 = 42294650818880000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83539 + ... + 85261.

Almost surely, 2145421200 is an apocalyptic number.

145421200 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 145421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175616984).

145421200 is an abundant number, since it is smaller than the sum of its proper divisors (205812768).

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

145421200 is a wasteful number, since it uses less digits than its factorization.

145421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1941 counting only the distinct ones).

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

The square root of 145421200 is about 12059.0712743561. The cubic root of 145421200 is about 525.8669877208.

Adding to 145421200 its reverse (2124541), we get a palindrome (147545741).

The spelling of 145421200 in words is "one hundred forty-five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 211 400 422 844 1055 1688 1723 2110 3376 3446 4220 5275 6892 8440 8615 10550 13784 16880 17230 21100 27568 34460 42200 43075 68920 84400 86150 137840 172300 344600 363553 689200 727106 1454212 1817765 2908424 3635530 5816848 7271060 9088825 14542120 18177650 29084240 36355300 72710600 145421200