Search a number
-
+
69086080 = 275722203
BaseRepresentation
bin1000001111000…
…10101110000000
311210222221021201
410013202232000
5120141223310
610504430544
71466136100
oct407425600
9153887251
1069086080
1135aa7438
121b178454
131140b84b
149265200
1560e9e3a
hex41e2b80

69086080 has 96 divisors (see below), whose sum is σ = 192210840. Its totient is φ = 23675904.

The previous prime is 69086077. The next prime is 69086081. The reversal of 69086080 is 8068096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69086081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30259 + ... + 32461.

Almost surely, 269086080 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 69086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96105420).

69086080 is an abundant number, since it is smaller than the sum of its proper divisors (123124760).

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

69086080 is a wasteful number, since it uses less digits than its factorization.

69086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 69086080 is about 8311.8036550438. The cubic root of 69086080 is about 410.3270838289.

The spelling of 69086080 in words is "sixty-nine million, eighty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2203 2240 3136 3920 4406 4480 6272 7840 8812 11015 15421 15680 17624 22030 30842 31360 35248 44060 61684 70496 77105 88120 107947 123368 140992 154210 176240 215894 246736 281984 308420 352480 431788 493472 539735 616840 704960 863576 986944 1079470 1233680 1409920 1727152 1973888 2158940 2467360 3454304 4317880 4934720 6908608 8635760 9869440 13817216 17271520 34543040 69086080