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145435040 = 2551914759
BaseRepresentation
bin10001010101100…
…10100110100000
3101010122212100222
420222302212200
5244212410130
622233102212
73414114602
oct1052624640
9333585328
10145435040
1175104553
1240857968
132419114a
141545b172
15cb7bce5
hex8ab29a0

145435040 has 48 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 57857280.

The previous prime is 145435039. The next prime is 145435057. The reversal of 145435040 is 40534541.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28181 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2145435040 is an apocalyptic number.

145435040 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 145435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

145435040 is an abundant number, since it is smaller than the sum of its proper divisors (200026720).

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

145435040 is a wasteful number, since it uses less digits than its factorization.

145435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 145435040 is about 12059.6451025725. The cubic root of 145435040 is about 525.8836697641.

Adding to 145435040 its reverse (40534541), we get a palindrome (185969581).

The spelling of 145435040 in words is "one hundred forty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 4759 6112 7640 9518 15280 19036 23795 30560 38072 47590 76144 95180 152288 190360 380720 761440 908969 1817938 3635876 4544845 7271752 9089690 14543504 18179380 29087008 36358760 72717520 145435040