Search a number
-
+
60692944 = 24131092677
BaseRepresentation
bin1110011110000…
…1100111010000
311020012112001211
43213201213100
5111014133234
610004505504
71334611234
oct347414720
9136175054
1060692944
1131294564
12183ab294
13c7604b0
1480bc5c4
1554dd164
hex39e19d0

60692944 has 40 divisors (see below), whose sum is σ = 127847720. Its totient is φ = 27744768.

The previous prime is 60692939. The next prime is 60693013. The reversal of 60692944 is 44929606.

60692944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40000 + 60652944 = 200^2 + 7788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 60692897 and 60692906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21334 + ... + 24010.

It is an arithmetic number, because the mean of its divisors is an integer number (3196193).

Almost surely, 260692944 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 60692944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63923860).

60692944 is an abundant number, since it is smaller than the sum of its proper divisors (67154776).

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

60692944 is a wasteful number, since it uses less digits than its factorization.

60692944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 60692944 is about 7790.5676301538. The cubic root of 60692944 is about 392.9881014296.

The spelling of 60692944 in words is "sixty million, six hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 2677 2834 5354 5668 10708 11336 21416 22672 34801 42832 69602 139204 278408 291793 556816 583586 1167172 2334344 3793309 4668688 7586618 15173236 30346472 60692944