Search a number
-
+
134051424 = 25313233461
BaseRepresentation
bin1111111110101…
…11011001100000
3100100020111222120
413333113121200
5233304121144
621145104240
73215263323
oct777273140
9310214876
10134051424
1169739901
1238a88080
1321a06890
1413b367ba
15bb7de19
hex7fd7660

134051424 has 96 divisors (see below), whose sum is σ = 381405024. Its totient is φ = 40980480.

The previous prime is 134051371. The next prime is 134051447. The reversal of 134051424 is 424150431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 134051394 and 134051403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290554 + ... + 291014.

It is an arithmetic number, because the mean of its divisors is an integer number (3972969).

Almost surely, 2134051424 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 134051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512).

134051424 is an abundant number, since it is smaller than the sum of its proper divisors (247353600).

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

134051424 is a wasteful number, since it uses less digits than its factorization.

134051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 134051424 is about 11578.0578682264. The cubic root of 134051424 is about 511.7884461285.

The spelling of 134051424 in words is "one hundred thirty-four million, fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 233 312 416 461 466 624 699 922 932 1248 1383 1398 1844 1864 2766 2796 3029 3688 3728 5532 5592 5993 6058 7376 7456 9087 11064 11184 11986 12116 14752 17979 18174 22128 22368 23972 24232 35958 36348 44256 47944 48464 71916 72696 95888 96928 107413 143832 145392 191776 214826 287664 290784 322239 429652 575328 644478 859304 1288956 1396369 1718608 2577912 2792738 3437216 4189107 5155824 5585476 8378214 10311648 11170952 16756428 22341904 33512856 44683808 67025712 134051424