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145431450 = 23452149241
BaseRepresentation
bin10001010101100…
…01101110011010
3101010122200110000
420222301232122
5244212301300
622233033430
73414101253
oct1052615632
9333580400
10145431450
117510188a
1240855876
132418c618
1415459b2a
15cb7ac00
hex8ab1b9a

145431450 has 120 divisors (see below), whose sum is σ = 408483900. Its totient is φ = 38361600.

The previous prime is 145431443. The next prime is 145431463. The reversal of 145431450 is 54134541.

It is a happy number.

145431450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40717161 + 104714289 = 6381^2 + 10233^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603330 + ... + 603570.

Almost surely, 2145431450 is an apocalyptic number.

145431450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145431450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204241950).

145431450 is an abundant number, since it is smaller than the sum of its proper divisors (263052450).

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

145431450 is a wasteful number, since it uses less digits than its factorization.

145431450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 145431450 is about 12059.4962581362. The cubic root of 145431450 is about 525.8793426594.

Adding to 145431450 its reverse (54134541), we get a palindrome (199565991).

The spelling of 145431450 in words is "one hundred forty-five million, four hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 149 150 162 225 241 270 298 405 447 450 482 675 723 745 810 894 1205 1341 1350 1446 1490 2025 2169 2235 2410 2682 3615 3725 4023 4050 4338 4470 6025 6507 6705 7230 7450 8046 10845 11175 12050 12069 13014 13410 18075 19521 20115 21690 22350 24138 32535 33525 35909 36150 39042 40230 54225 60345 65070 67050 71818 97605 100575 107727 108450 120690 162675 179545 195210 201150 215454 301725 323181 325350 359090 488025 538635 603450 646362 897725 969543 976050 1077270 1615905 1795450 1939086 2693175 2908629 3231810 4847715 5386350 5817258 8079525 9695430 14543145 16159050 24238575 29086290 48477150 72715725 145431450