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146057436 = 22327282799
BaseRepresentation
bin10001011010010…
…10100011011100
3101011211111010200
420231022203130
5244342314221
622254303500
73422316300
oct1055124334
9334744120
10146057436
117549a128
1240ab7b90
132434b525
141557dd00
15cc51426
hex8b4a8dc

146057436 has 54 divisors (see below), whose sum is σ = 429483600. Its totient is φ = 41730192.

The previous prime is 146057419. The next prime is 146057449. The reversal of 146057436 is 634750641.

It is a happy number.

146057436 is a `hidden beast` number, since 1 + 4 + 605 + 7 + 43 + 6 = 666.

It is a super-2 number, since 2×1460574362 = 42665549221788192, which contains 22 as substring.

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 146057436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39636 + ... + 43163.

It is an arithmetic number, because the mean of its divisors is an integer number (7953400).

Almost surely, 2146057436 is an apocalyptic number.

It is an amenable number.

146057436 is an abundant number, since it is smaller than the sum of its proper divisors (283426164).

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

146057436 is a wasteful number, since it uses less digits than its factorization.

146057436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82823 (or 82811 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 146057436 is about 12085.4224584828. The cubic root of 146057436 is about 526.6327833424.

The spelling of 146057436 in words is "one hundred forty-six million, fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 82799 165598 248397 331196 496794 579593 745191 993588 1159186 1490382 1738779 2318372 2980764 3477558 4057151 5216337 6955116 8114302 10432674 12171453 16228604 20865348 24342906 36514359 48685812 73028718 146057436