Search a number
-
+
30255837840 = 2432542021997
BaseRepresentation
bin11100001011011000…
…110111001010010000
32220002120200210220200
4130023120313022100
5443430443302330
621522131335200
72120524243524
oct341330671220
986076623820
1030255837840
11119166a4868
125a44751500
132b1239ca37
141670403d84
15bc1312a60
hex70b637290

30255837840 has 60 divisors (see below), whose sum is σ = 101609191164. Its totient is φ = 8068223232.

The previous prime is 30255837827. The next prime is 30255837877. The reversal of 30255837840 is 4873855203.

30255837840 is a `hidden beast` number, since 3 + 0 + 25 + 583 + 7 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8455905936 + 21799931904 = 91956^2 + 147648^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21010279 + ... + 21011718.

Almost surely, 230255837840 is an apocalyptic number.

30255837840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30255837840 is an abundant number, since it is smaller than the sum of its proper divisors (71353353324).

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

30255837840 is a wasteful number, since it uses less digits than its factorization.

30255837840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42022016 (or 42022007 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 30255837840 in words is "thirty billion, two hundred fifty-five million, eight hundred thirty-seven thousand, eight hundred forty".

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 42021997 84043994 126065991 168087988 210109985 252131982 336175976 378197973 420219970 504263964 630329955 672351952 756395946 840439940 1008527928 1260659910 1512791892 1680879880 1890989865 2017055856 2521319820 3025583784 3361759760 3781979730 5042639640 6051167568 7563959460 10085279280 15127918920 30255837840