Search a number
-
+
60134144 = 287231459
BaseRepresentation
bin1110010101100…
…1001100000000
311012011010112112
43211121030000
5110343243034
65544514452
71330063130
oct345311400
9135133475
1060134144
1130a42744
121817ba28
13c5c6045
147db4ac0
15542c7ce
hex3959300

60134144 has 72 divisors (see below), whose sum is σ = 143243520. Its totient is φ = 24634368.

The previous prime is 60134131. The next prime is 60134159. The reversal of 60134144 is 44143106.

It is a super-2 number, since 2×601341442 = 7232230549225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40487 + ... + 41945.

Almost surely, 260134144 is an apocalyptic number.

60134144 is a gapful number since it is divisible by the number (64) 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 60134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71621760).

60134144 is an abundant number, since it is smaller than the sum of its proper divisors (83109376).

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

60134144 is a wasteful number, since it uses less digits than its factorization.

60134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 60134144 is about 7754.6208160038. The cubic root of 60134144 is about 391.7783002950.

The spelling of 60134144 in words is "sixty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1459 1472 1792 2576 2918 2944 5152 5836 5888 10213 10304 11672 20426 20608 23344 33557 40852 41216 46688 67114 81704 93376 134228 163408 186752 234899 268456 326816 373504 469798 536912 653632 939596 1073824 1307264 1879192 2147648 2614528 3758384 4295296 7516768 8590592 15033536 30067072 60134144