Search a number
-
+
145378240 = 265764901
BaseRepresentation
bin10001010101001…
…00101111000000
3101010112222110021
420222210233000
5244204100430
622231543224
73413460160
oct1052445700
9333488407
10145378240
1175075907
124082ab14
1324171337
14154445a0
15cb6a07a
hex8aa4bc0

145378240 has 56 divisors (see below), whose sum is σ = 395642592. Its totient is φ = 49843200.

The previous prime is 145378231. The next prime is 145378241. The reversal of 145378240 is 42873541.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1453782402 = 42269665330995200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145378196 and 145378205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145378241) 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, 30211 + ... + 34690.

Almost surely, 2145378240 is an apocalyptic number.

145378240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145378240 is an abundant number, since it is smaller than the sum of its proper divisors (250264352).

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

145378240 is an equidigital number, since it uses as much as digits as its factorization.

145378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64925 (or 64915 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 145378240 is about 12057.2899110870. The cubic root of 145378240 is about 525.8151991445.

The spelling of 145378240 in words is "one hundred forty-five million, three hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 64901 129802 259604 324505 454307 519208 649010 908614 1038416 1298020 1817228 2076832 2271535 2596040 3634456 4153664 4543070 5192080 7268912 9086140 10384160 14537824 18172280 20768320 29075648 36344560 72689120 145378240