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95420880 = 24325132529
BaseRepresentation
bin1011011000000…
…00000111010000
320122112212211200
411230000013100
5143411432010
613245111200
72236030662
oct554000720
9218485750
1095420880
1149954135
1227b58500
13169cc479
14c95c532
15859ccc0
hex5b001d0

95420880 has 60 divisors (see below), whose sum is σ = 320457540. Its totient is φ = 25445376.

The previous prime is 95420879. The next prime is 95420887. The reversal of 95420880 is 8802459.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 60279696 = 5928^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95420887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65545 + ... + 66984.

It is an arithmetic number, because the mean of its divisors is an integer number (5340959).

Almost surely, 295420880 is an apocalyptic number.

95420880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95420880 is an abundant number, since it is smaller than the sum of its proper divisors (225036660).

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

95420880 is a wasteful number, since it uses less digits than its factorization.

95420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132548 (or 132539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 95420880 is about 9768.3611726840. The cubic root of 95420880 is about 456.9631075307.

The spelling of 95420880 in words is "ninety-five million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 132529 265058 397587 530116 662645 795174 1060232 1192761 1325290 1590348 1987935 2120464 2385522 2650580 3180696 3975870 4771044 5301160 5963805 6361392 7951740 9542088 10602320 11927610 15903480 19084176 23855220 31806960 47710440 95420880