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146014164 = 22341923719
BaseRepresentation
bin10001011001111…
…11111111010100
3101011202021210000
420230333333110
5244334423124
622253331300
73422046162
oct1054777724
9334667700
10146014164
117546a66a
1240a96b30
132433491a
141556c232
15cc436c9
hex8b3ffd4

146014164 has 60 divisors (see below), whose sum is σ = 401816800. Its totient is φ = 46107792.

The previous prime is 146014163. The next prime is 146014171. The reversal of 146014164 is 461410641.

146014164 is a `hidden beast` number, since 1 + 460 + 141 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146014163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5704 + ... + 18015.

Almost surely, 2146014164 is an apocalyptic number.

It is an amenable number.

146014164 is an abundant number, since it is smaller than the sum of its proper divisors (255802636).

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

146014164 is a wasteful number, since it uses less digits than its factorization.

146014164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23754 (or 23743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146014164 is about 12083.6320698704. The cubic root of 146014164 is about 526.5807702319.

The spelling of 146014164 in words is "one hundred forty-six million, fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 23719 47438 71157 94876 142314 213471 284628 426942 450661 640413 853884 901322 1280826 1351983 1802644 1921239 2561652 2703966 3842478 4055949 5407932 7684956 8111898 12167847 16223796 24335694 36503541 48671388 73007082 146014164