Search a number
-
+
61689120 = 2535128519
BaseRepresentation
bin1110101101010…
…0110100100000
311022002010120020
43223110310200
5111243022440
610042113440
71346230443
oct353246440
9138063506
1061689120
1131904a49
12187ab880
13ca1ba4c
14829b65a
1556383d0
hex3ad4d20

61689120 has 48 divisors (see below), whose sum is σ = 194322240. Its totient is φ = 16450304.

The previous prime is 61689113. The next prime is 61689139. The reversal of 61689120 is 2198616.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63780 + ... + 64739.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 261689120 is an apocalyptic number.

61689120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61689120 is an abundant number, since it is smaller than the sum of its proper divisors (132633120).

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

61689120 is a wasteful number, since it uses less digits than its factorization.

61689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128537 (or 128529 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 61689120 is about 7854.2421658617. The cubic root of 61689120 is about 395.1265310602.

The spelling of 61689120 in words is "sixty-one million, six hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 128519 257038 385557 514076 642595 771114 1028152 1285190 1542228 1927785 2056304 2570380 3084456 3855570 4112608 5140760 6168912 7711140 10281520 12337824 15422280 20563040 30844560 61689120