Search a number
-
+
60978368 = 2611372341
BaseRepresentation
bin1110100010011…
…1010011000000
311020202000121002
43220213103000
5111102301433
610014551132
71340210333
oct350472300
9136660532
1060978368
1131469a50
12185084a8
13c830399
14815461a
1555479e8
hex3a274c0

60978368 has 56 divisors (see below), whose sum is σ = 135629904. Its totient is φ = 26956800.

The previous prime is 60978341. The next prime is 60978389. The reversal of 60978368 is 86387906.

It is a super-2 number, since 2×609783682 = 7436722727886848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24878 + ... + 27218.

Almost surely, 260978368 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 60978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67814952).

60978368 is an abundant number, since it is smaller than the sum of its proper divisors (74651536).

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

60978368 is a wasteful number, since it uses less digits than its factorization.

60978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 60978368 is about 7808.8647062169. The cubic root of 60978368 is about 393.6031804004.

The spelling of 60978368 in words is "sixty million, nine hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 592 704 814 1184 1628 2341 2368 3256 4682 6512 9364 13024 18728 25751 26048 37456 51502 74912 86617 103004 149824 173234 206008 346468 412016 692936 824032 952787 1385872 1648064 1905574 2771744 3811148 5543488 7622296 15244592 30489184 60978368