Search a number
-
+
61440054 = 23133761349
BaseRepresentation
bin1110101001100…
…0000000110110
311021121110220120
43222120000312
5111212040204
610032512410
71344142344
oct352300066
9137543816
1061440054
1131754905
12186ab706
13c962580
148234994
1555d96d9
hex3a98036

61440054 has 64 divisors (see below), whose sum is σ = 138532800. Its totient is φ = 18040320.

The previous prime is 61440037. The next prime is 61440089. The reversal of 61440054 is 45004416.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 175872 + ... + 176220.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 261440054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61440054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69266400).

61440054 is an abundant number, since it is smaller than the sum of its proper divisors (77092746).

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

61440054 is a wasteful number, since it uses less digits than its factorization.

61440054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

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

The square root of 61440054 is about 7838.3706215004. The cubic root of 61440054 is about 394.5940474965.

It can be divided in two parts, 614400 and 54, that multiplied together give a square (33177600 = 57602).

The spelling of 61440054 in words is "sixty-one million, four hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 13 26 37 39 61 74 78 111 122 183 222 349 366 481 698 793 962 1047 1443 1586 2094 2257 2379 2886 4514 4537 4758 6771 9074 12913 13542 13611 21289 25826 27222 29341 38739 42578 58682 63867 77478 88023 127734 167869 176046 276757 335738 503607 553514 787693 830271 1007214 1575386 1660542 2363079 4726158 10240009 20480018 30720027 61440054