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145584612 = 223219212843
BaseRepresentation
bin10001010110101…
…11000111100100
3101010221110112200
420223113013210
5244232201422
622240214500
73415306635
oct1053270744
9333843480
10145584612
11751a6968
124090a430
1324214254
141549988c
15cbab2ac
hex8ad71e4

145584612 has 36 divisors (see below), whose sum is σ = 387376080. Its totient is φ = 45973872.

The previous prime is 145584581. The next prime is 145584653. The reversal of 145584612 is 216485541.

It is a happy number.

145584612 is a `hidden beast` number, since 14 + 5 + 584 + 61 + 2 = 666.

145584612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105738 + ... + 107105.

Almost surely, 2145584612 is an apocalyptic number.

145584612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145584612 is an abundant number, since it is smaller than the sum of its proper divisors (241791468).

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

145584612 is a wasteful number, since it uses less digits than its factorization.

145584612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212872 (or 212867 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145584612 is about 12065.8448523093. The cubic root of 145584612 is about 526.0638888793.

The spelling of 145584612 in words is "one hundred forty-five million, five hundred eighty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 212843 425686 638529 851372 1277058 1915587 2554116 3831174 4044017 7662348 8088034 12132051 16176068 24264102 36396153 48528204 72792306 145584612