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145132420 = 22561337353
BaseRepresentation
bin10001010011010…
…00101110000100
3101010002111020211
420221220232010
5244123214140
622222405204
73411414406
oct1051505604
9333074224
10145132420
1174a18154
1240730804
13240b6494
14153bcb76
15cb1c2ea
hex8a68b84

145132420 has 48 divisors (see below), whose sum is σ = 311573808. Its totient is φ = 56770560.

The previous prime is 145132397. The next prime is 145132433. The reversal of 145132420 is 24231541.

It can be written as a sum of positive squares in 8 ways, for example, as 38340864 + 106791556 = 6192^2 + 10334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145132391 and 145132400.

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 15 ways as a sum of consecutive naturals, for example, 410964 + ... + 411316.

It is an arithmetic number, because the mean of its divisors is an integer number (6491121).

Almost surely, 2145132420 is an apocalyptic number.

145132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145132420 is an abundant number, since it is smaller than the sum of its proper divisors (166441388).

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

145132420 is a wasteful number, since it uses less digits than its factorization.

145132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145132420 is about 12047.0917652353. The cubic root of 145132420 is about 525.5186650513.

Adding to 145132420 its reverse (24231541), we get a palindrome (169363961).

The spelling of 145132420 in words is "one hundred forty-five million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 337 353 610 674 706 1220 1348 1412 1685 1765 3370 3530 6740 7060 20557 21533 41114 43066 82228 86132 102785 107665 118961 205570 215330 237922 411140 430660 475844 594805 1189610 2379220 7256621 14513242 29026484 36283105 72566210 145132420