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145303140 = 223514511669
BaseRepresentation
bin10001010100100…
…10011001100100
3101010102011102210
420222102121210
5244144200030
622230203420
73413025213
oct1052223144
9333364383
10145303140
1175024444
12407b3570
13241460b8
141542507a
15cb52bb0
hex8a92664

145303140 has 48 divisors (see below), whose sum is σ = 407373120. Its totient is φ = 38697600.

The previous prime is 145303117. The next prime is 145303141. The reversal of 145303140 is 41303541.

It is a super-2 number, since 2×1453031402 = 42226004987719200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145303141) 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 15 ways as a sum of consecutive naturals, for example, 86226 + ... + 87894.

It is an arithmetic number, because the mean of its divisors is an integer number (8486940).

Almost surely, 2145303140 is an apocalyptic number.

145303140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145303140 is an abundant number, since it is smaller than the sum of its proper divisors (262069980).

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

145303140 is a wasteful number, since it uses less digits than its factorization.

145303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145303140 is about 12054.1752102747. The cubic root of 145303140 is about 525.7246410638.

Adding to 145303140 its reverse (41303541), we get a palindrome (186606681).

The spelling of 145303140 in words is "one hundred forty-five million, three hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1451 1669 2902 3338 4353 5007 5804 6676 7255 8345 8706 10014 14510 16690 17412 20028 21765 25035 29020 33380 43530 50070 87060 100140 2421719 4843438 7265157 9686876 12108595 14530314 24217190 29060628 36325785 48434380 72651570 145303140