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145988268 = 223234312301
BaseRepresentation
bin10001011001110…
…01101010101100
3101011200222020220
420230321222230
5244333111033
622253011340
73421610526
oct1054715254
9334628226
10145988268
1175452168
1240a83b50
1324325bba
1415562a16
15cc3abb3
hex8b39aac

145988268 has 48 divisors (see below), whose sum is σ = 363745536. Its totient is φ = 45460800.

The previous prime is 145988257. The next prime is 145988303. The reversal of 145988268 is 862889541.

145988268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145988268.

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, 5718 + ... + 18018.

It is an arithmetic number, because the mean of its divisors is an integer number (7578032).

Almost surely, 2145988268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145988268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181872768).

145988268 is an abundant number, since it is smaller than the sum of its proper divisors (217757268).

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

145988268 is a wasteful number, since it uses less digits than its factorization.

145988268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12374 (or 12372 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 145988268 is about 12082.5604902272. The cubic root of 145988268 is about 526.5496382251.

The spelling of 145988268 in words is "one hundred forty-five million, nine hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3956 5934 11868 12301 24602 36903 49204 73806 147612 282923 528943 565846 848769 1057886 1131692 1586829 1697538 2115772 3173658 3395076 6347316 12165689 24331378 36497067 48662756 72994134 145988268