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146644036 = 227111672851
BaseRepresentation
bin10001011110110…
…01110001000100
3101012221021210121
420233121301010
5300020102121
622315031324
73430311430
oct1057316104
9335837717
10146644036
117585a920
124113b544
13244c5526
14156939c0
15cd1a141
hex8bd9c44

146644036 has 48 divisors (see below), whose sum is σ = 321979392. Its totient is φ = 56772000.

The previous prime is 146644019. The next prime is 146644037. The reversal of 146644036 is 630446641.

It is a junction number, because it is equal to n+sod(n) for n = 146643992 and 146644010.

It is not an unprimeable number, because it can be changed into a prime (146644037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50011 + ... + 52861.

It is an arithmetic number, because the mean of its divisors is an integer number (6707904).

Almost surely, 2146644036 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 146644036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160989696).

146644036 is an abundant number, since it is smaller than the sum of its proper divisors (175335356).

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

146644036 is a wasteful number, since it uses less digits than its factorization.

146644036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 146644036 is about 12109.6670474460. The cubic root of 146644036 is about 527.3368674144.

The spelling of 146644036 in words is "one hundred forty-six million, six hundred forty-four thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 2851 3674 4676 5702 7348 11404 12859 19957 25718 31361 39914 51436 62722 79828 125444 219527 439054 476117 878108 952234 1904468 3332819 5237287 6665638 10474574 13331276 20949148 36661009 73322018 146644036