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145491440 = 24517106979
BaseRepresentation
bin10001010110000…
…00010111110000
3101010202201201212
420223000113300
5244221211230
622234215252
73414441203
oct1053002760
9333681655
10145491440
1175142966
1240884528
13241b0a13
141547393a
15cb8d895
hex8ac05f0

145491440 has 40 divisors (see below), whose sum is σ = 358169040. Its totient is φ = 54772736.

The previous prime is 145491433. The next prime is 145491449. The reversal of 145491440 is 44194541.

145491440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1454914402 = 42335518226547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145491397 and 145491406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145491449) by changing a digit.

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, 52130 + ... + 54849.

It is an arithmetic number, because the mean of its divisors is an integer number (8954226).

Almost surely, 2145491440 is an apocalyptic number.

145491440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145491440 is an abundant number, since it is smaller than the sum of its proper divisors (212677600).

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

145491440 is a wasteful number, since it uses less digits than its factorization.

145491440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107009 (or 107003 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 145491440 is about 12061.9832531802. The cubic root of 145491440 is about 525.9516405588.

The spelling of 145491440 in words is "one hundred forty-five million, four hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 106979 213958 427916 534895 855832 1069790 1711664 1818643 2139580 3637286 4279160 7274572 8558320 9093215 14549144 18186430 29098288 36372860 72745720 145491440