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146066436 = 22334132987
BaseRepresentation
bin10001011010011…
…00110000000100
3101011211221111000
420231030300010
5244343111221
622254413300
73422354445
oct1055146004
9334757430
10146066436
11754a596a
1240b01230
1324352659
14155832cc
15cc53e26
hex8b4cc04

146066436 has 48 divisors (see below), whose sum is σ = 387938880. Its totient is φ = 47499840.

The previous prime is 146066407. The next prime is 146066443. The reversal of 146066436 is 634660641.

146066436 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 6 + 643 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146066436.

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, 12066 + ... + 20921.

It is an arithmetic number, because the mean of its divisors is an integer number (8082060).

Almost surely, 2146066436 is an apocalyptic number.

It is an amenable number.

146066436 is an abundant number, since it is smaller than the sum of its proper divisors (241872444).

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

146066436 is a wasteful number, since it uses less digits than its factorization.

146066436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33041 (or 33033 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 146066436 is about 12085.7948021634. The cubic root of 146066436 is about 526.6436000865.

It can be divided in two parts, 1460 and 66436, that added together give a triangular number (67896 = T368).

The spelling of 146066436 in words is "one hundred forty-six million, sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 32987 65974 98961 131948 197922 296883 395844 593766 890649 1187532 1352467 1781298 2704934 3562596 4057401 5409868 8114802 12172203 16229604 24344406 36516609 48688812 73033218 146066436