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132055248 = 24313273223
BaseRepresentation
bin1111101111100…
…00000011010000
3100012111002202010
413313300003100
5232301231443
621034222520
73162310503
oct767600320
9305432663
10132055248
11685a6076
1238284a40
1321488100
141377713a
15b8d7733
hex7df00d0

132055248 has 120 divisors (see below), whose sum is σ = 376142592. Its totient is φ = 39896064.

The previous prime is 132055229. The next prime is 132055271. The reversal of 132055248 is 842550231.

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 23 ways as a sum of consecutive naturals, for example, 592065 + ... + 592287.

Almost surely, 2132055248 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 132055248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188071296).

132055248 is an abundant number, since it is smaller than the sum of its proper divisors (244087344).

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

132055248 is a wasteful number, since it uses less digits than its factorization.

132055248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 132055248 is about 11491.5294021292. The cubic root of 132055248 is about 509.2353631973.

The spelling of 132055248 in words is "one hundred thirty-two million, fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 169 208 219 223 292 312 338 438 446 507 584 624 669 676 876 892 949 1014 1168 1338 1352 1752 1784 1898 2028 2676 2704 2847 2899 3504 3568 3796 4056 5352 5694 5798 7592 8112 8697 10704 11388 11596 12337 15184 16279 17394 22776 23192 24674 32558 34788 37011 37687 45552 46384 48837 49348 65116 69576 74022 75374 97674 98696 113061 130232 139152 148044 150748 195348 197392 211627 226122 260464 296088 301496 390696 423254 452244 592176 602992 634881 781392 846508 904488 1269762 1693016 1808976 2539524 2751151 3386032 5079048 5502302 8253453 10158096 11004604 16506906 22009208 33013812 44018416 66027624 132055248