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146230056 = 23337175689
BaseRepresentation
bin10001011011101…
…00101100101000
3101012011020221000
420231310230220
5244413330211
622302115000
73423635460
oct1055645450
9335136830
10146230056
11755a7895
1240b7ba60
13243abc7b
14155c6ba0
15cc87656
hex8b74b28

146230056 has 128 divisors (see below), whose sum is σ = 491616000. Its totient is φ = 39315456.

The previous prime is 146230037. The next prime is 146230079. The reversal of 146230056 is 650032641.

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

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 31 ways as a sum of consecutive naturals, for example, 22860 + ... + 28548.

It is an arithmetic number, because the mean of its divisors is an integer number (3840750).

Almost surely, 2146230056 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 146230056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245808000).

146230056 is an abundant number, since it is smaller than the sum of its proper divisors (345385944).

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

146230056 is a wasteful number, since it uses less digits than its factorization.

146230056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 146230056 is about 12092.5620114184. The cubic root of 146230056 is about 526.8401710744.

Adding to 146230056 its reverse (650032641), we get a palindrome (796262697).

The spelling of 146230056 in words is "one hundred forty-six million, two hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 5689 6426 8568 11378 12852 17067 22756 25704 34134 39823 45512 51201 68268 79646 96713 102402 119469 136536 153603 159292 193426 204804 238938 290139 307206 318584 358407 386852 409608 477876 580278 614412 676991 716814 773704 870417 955752 1075221 1160556 1228824 1353982 1433628 1740834 2030973 2150442 2321112 2611251 2707964 2867256 3481668 4061946 4300884 5222502 5415928 6092919 6963336 8123892 8601768 10445004 12185838 16247784 18278757 20890008 24371676 36557514 48743352 73115028 146230056