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65077980 = 223511151653
BaseRepresentation
bin1111100001000…
…0001011011100
311112110022012120
43320100023130
5113124443410
610242502540
71420103502
oct370201334
9145408176
1065077980
113380a060
1219964a50
13106373a6
148900672
155aa7570
hex3e102dc

65077980 has 96 divisors (see below), whose sum is σ = 200406528. Its totient is φ = 15648000.

The previous prime is 65077973. The next prime is 65077981. The reversal of 65077980 is 8977056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65077981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99334 + ... + 99986.

It is an arithmetic number, because the mean of its divisors is an integer number (2087568).

Almost surely, 265077980 is an apocalyptic number.

65077980 is a gapful number since it is divisible by the number (60) 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 65077980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100203264).

65077980 is an abundant number, since it is smaller than the sum of its proper divisors (135328548).

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

65077980 is a wasteful number, since it uses less digits than its factorization.

65077980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 65077980 is about 8067.0924130073. The cubic root of 65077980 is about 402.2332993952.

The spelling of 65077980 in words is "sixty-five million, seventy-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 151 165 220 302 330 453 604 653 660 755 906 1306 1510 1661 1812 1959 2265 2612 3020 3265 3322 3918 4530 4983 6530 6644 7183 7836 8305 9060 9795 9966 13060 14366 16610 19590 19932 21549 24915 28732 33220 35915 39180 43098 49830 71830 86196 98603 99660 107745 143660 197206 215490 295809 394412 430980 493015 591618 986030 1084633 1183236 1479045 1972060 2169266 2958090 3253899 4338532 5423165 5916180 6507798 10846330 13015596 16269495 21692660 32538990 65077980