Search a number
-
+
61720064 = 297171013
BaseRepresentation
bin1110101101110…
…0011000000000
311022010201000022
43223130120000
5111300020224
610042513012
71346416610
oct353343000
9138121008
1061720064
113192621a
1218805768
13ca2cb63
1482a8a40
15564265e
hex3adc600

61720064 has 80 divisors (see below), whose sum is σ = 149374368. Its totient is φ = 24870912.

The previous prime is 61720019. The next prime is 61720079. The reversal of 61720064 is 46002716.

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 7 ways as a sum of consecutive naturals, for example, 60422 + ... + 61434.

Almost surely, 261720064 is an apocalyptic number.

61720064 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 61720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74687184).

61720064 is an abundant number, since it is smaller than the sum of its proper divisors (87654304).

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

61720064 is a wasteful number, since it uses less digits than its factorization.

61720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 61720064 is about 7856.2118097719. The cubic root of 61720064 is about 395.1925867470.

The spelling of 61720064 in words is "sixty-one million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1013 1088 1792 1904 2026 2176 3584 3808 4052 4352 7091 7616 8104 8704 14182 15232 16208 17221 28364 30464 32416 34442 56728 60928 64832 68884 113456 120547 129664 137768 226912 241094 259328 275536 453824 482188 518656 551072 907648 964376 1102144 1815296 1928752 2204288 3630592 3857504 4408576 7715008 8817152 15430016 30860032 61720064