Search a number
-
+
12032880 = 2435181277
BaseRepresentation
bin101101111001…
…101101110000
3211122100000020
4231321231300
511040023010
61105523440
7204164166
oct55715560
924570006
1012032880
116879532
124043580
132653c62
141853236
1510ca470
hexb79b70

12032880 has 80 divisors (see below), whose sum is σ = 37643424. Its totient is φ = 3179520.

The previous prime is 12032879. The next prime is 12032927. The reversal of 12032880 is 8823021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12032880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43302 + ... + 43578.

Almost surely, 212032880 is an apocalyptic number.

12032880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821712).

12032880 is an abundant number, since it is smaller than the sum of its proper divisors (25610544).

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

12032880 is a wasteful number, since it uses less digits than its factorization.

12032880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12032880 is about 3468.8441879104. The cubic root of 12032880 is about 229.1517589568.

The spelling of 12032880 in words is "twelve million, thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 277 362 543 554 724 831 905 1086 1108 1385 1448 1662 1810 2172 2216 2715 2770 2896 3324 3620 4155 4344 4432 5430 5540 6648 7240 8310 8688 10860 11080 13296 14480 16620 21720 22160 33240 43440 50137 66480 100274 150411 200548 250685 300822 401096 501370 601644 752055 802192 1002740 1203288 1504110 2005480 2406576 3008220 4010960 6016440 12032880