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145240420 = 225131733229
BaseRepresentation
bin10001010100000…
…11000101100100
3101010021222101211
420222003011210
5244140143140
622225001204
73412344313
oct1052030544
9333258354
10145240420
1174a91306
1240783204
13241236a0
141540a27a
15cb3e2ea
hex8a83164

145240420 has 48 divisors (see below), whose sum is σ = 330467760. Its totient is φ = 53300736.

The previous prime is 145240379. The next prime is 145240441. The reversal of 145240420 is 24042541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2390116 + 142850304 = 1546^2 + 11952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145240391 and 145240400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43366 + ... + 46594.

It is an arithmetic number, because the mean of its divisors is an integer number (6884745).

Almost surely, 2145240420 is an apocalyptic number.

145240420 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 145240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165233880).

145240420 is an abundant number, since it is smaller than the sum of its proper divisors (185227340).

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

145240420 is a wasteful number, since it uses less digits than its factorization.

145240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 145240420 is about 12051.5733412696. The cubic root of 145240420 is about 525.6489872847.

Adding to 145240420 its reverse (24042541), we get a palindrome (169282961).

The spelling of 145240420 in words is "one hundred forty-five million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3229 3460 4498 6458 8996 11245 12916 16145 22490 32290 41977 44980 64580 83954 167908 209885 419770 558617 839540 1117234 2234468 2793085 5586170 7262021 11172340 14524042 29048084 36310105 72620210 145240420