Search a number
-
+
146652864 = 2632832699
BaseRepresentation
bin10001011110110…
…11111011000000
3101012221201220120
420233123323000
5300020342424
622315140240
73430346241
oct1057337300
9335851816
10146652864
1175866516
1241144680
13244c9557
1415696cc8
15cd1ca79
hex8bdbec0

146652864 has 56 divisors (see below), whose sum is σ = 389534400. Its totient is φ = 48693504.

The previous prime is 146652841. The next prime is 146652881. The reversal of 146652864 is 468256641.

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, 52987 + ... + 55685.

Almost surely, 2146652864 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 146652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194767200).

146652864 is an abundant number, since it is smaller than the sum of its proper divisors (242881536).

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

146652864 is a wasteful number, since it uses less digits than its factorization.

146652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2987 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 146652864 is about 12110.0315441373. The cubic root of 146652864 is about 527.3474491300.

The spelling of 146652864 in words is "one hundred forty-six million, six hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1698 2264 2699 3396 4528 5398 6792 8097 9056 10796 13584 16194 18112 21592 27168 32388 43184 54336 64776 86368 129552 172736 259104 518208 763817 1527634 2291451 3055268 4582902 6110536 9165804 12221072 18331608 24442144 36663216 48884288 73326432 146652864