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146649712 = 24118310039
BaseRepresentation
bin10001011110110…
…11001001110000
3101012221120120211
420233123021300
5300020242322
622315113504
73430334116
oct1057331160
9335846524
10146649712
1175864110
1241142894
13244c7ca1
1415695ab6
15cd1bb77
hex8bdb270

146649712 has 40 divisors (see below), whose sum is σ = 313729920. Its totient is φ = 65849280.

The previous prime is 146649707. The next prime is 146649731. The reversal of 146649712 is 217946641.

146649712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1466497122 = 43012276059365888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9589 + ... + 19627.

It is an arithmetic number, because the mean of its divisors is an integer number (7843248).

Almost surely, 2146649712 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 146649712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156864960).

146649712 is an abundant number, since it is smaller than the sum of its proper divisors (167080208).

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

146649712 is a wasteful number, since it uses less digits than its factorization.

146649712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10141 (or 10135 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 146649712 is about 12109.9014033971. The cubic root of 146649712 is about 527.3436710221.

The spelling of 146649712 in words is "one hundred forty-six million, six hundred forty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1826 3652 7304 10039 14608 20078 40156 80312 110429 160624 220858 441716 833237 883432 1666474 1766864 3332948 6665896 9165607 13331792 18331214 36662428 73324856 146649712