Search a number
-
+
133480080 = 24325672767
BaseRepresentation
bin1111111010010…
…11111010010000
3100022011111020200
413331023322100
5233132330310
621124535200
73210363516
oct775137220
9308144220
10133480080
1169389618
1238851500
13218667c6
1413a284b6
15bab99c0
hex7f4be90

133480080 has 120 divisors (see below), whose sum is σ = 455125632. Its totient is φ = 35050752.

The previous prime is 133480049. The next prime is 133480091. The reversal of 133480080 is 80084331.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46857 + ... + 49623.

Almost surely, 2133480080 is an apocalyptic number.

133480080 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 133480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227562816).

133480080 is an abundant number, since it is smaller than the sum of its proper divisors (321645552).

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

133480080 is a wasteful number, since it uses less digits than its factorization.

133480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 133480080 is about 11553.3579534264. The cubic root of 133480080 is about 511.0603084701.

The spelling of 133480080 in words is "one hundred thirty-three million, four hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 2767 3015 3216 4020 4824 5360 5534 6030 8040 8301 9648 11068 12060 13835 16080 16602 22136 24120 24903 27670 33204 41505 44272 48240 49806 55340 66408 83010 99612 110680 124515 132816 166020 185389 199224 221360 249030 332040 370778 398448 498060 556167 664080 741556 926945 996120 1112334 1483112 1668501 1853890 1992240 2224668 2780835 2966224 3337002 3707780 4449336 5561670 6674004 7415560 8342505 8898672 11123340 13348008 14831120 16685010 22246680 26696016 33370020 44493360 66740040 133480080