[go: up one dir, main page]

Search a number
-
+
67135488 = 211372223
BaseRepresentation
bin1000000000001…
…10100000000000
311200022211120120
410000012200000
5114141313423
610354540240
71443433200
oct400064000
9150284516
1067135488
1134994982
121a597680
1310ba7a54
148cb8400
155d61ee3
hex4006800

67135488 has 144 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 19095552.

The previous prime is 67135483. The next prime is 67135507. The reversal of 67135488 is 88453176.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (67135483) 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, 300945 + ... + 301167.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 267135488 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 67135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

67135488 is an abundant number, since it is smaller than the sum of its proper divisors (142004352).

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

67135488 is a wasteful number, since it uses less digits than its factorization.

67135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 67135488 is about 8193.6248388610. The cubic root of 67135488 is about 406.4284023385.

The spelling of 67135488 in words is "sixty-seven million, one hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 223 224 256 294 336 384 392 446 448 512 588 669 672 768 784 892 896 1024 1176 1338 1344 1536 1561 1568 1784 1792 2048 2352 2676 2688 3072 3122 3136 3568 3584 4683 4704 5352 5376 6144 6244 6272 7136 7168 9366 9408 10704 10752 10927 12488 12544 14272 14336 18732 18816 21408 21504 21854 24976 25088 28544 32781 37464 37632 42816 43008 43708 49952 50176 57088 65562 74928 75264 85632 87416 99904 100352 114176 131124 149856 150528 171264 174832 199808 228352 262248 299712 301056 342528 349664 399616 456704 524496 599424 685056 699328 799232 1048992 1198848 1370112 1398656 1598464 2097984 2397696 2797312 3196928 4195968 4795392 5594624 8391936 9590784 11189248 16783872 22378496 33567744 67135488