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1401235020 = 223257784639
BaseRepresentation
bin101001110000101…
…0010011001001100
310121122200010002100
41103201102121030
510332204010040
6351013155100
746503205203
oct12341223114
93548603070
101401235020
11659a62679
1233132ba90
131943c1963
14d415423a
158303ab30
hex5385264c

1401235020 has 36 divisors (see below), whose sum is σ = 4250413440. Its totient is φ = 373662624.

The previous prime is 1401235007. The next prime is 1401235037. The reversal of 1401235020 is 205321041.

1401235020 is a `hidden beast` number, since 1 + 40 + 123 + 502 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1401234984 and 1401235002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3892140 + ... + 3892499.

It is an arithmetic number, because the mean of its divisors is an integer number (118067040).

Almost surely, 21401235020 is an apocalyptic number.

1401235020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401235020 is an abundant number, since it is smaller than the sum of its proper divisors (2849178420).

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

1401235020 is a wasteful number, since it uses less digits than its factorization.

1401235020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784654 (or 7784649 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1401235020 is about 37433.0738785903. The cubic root of 1401235020 is about 1119.0177985463.

Adding to 1401235020 its reverse (205321041), we get a palindrome (1606556061).

The spelling of 1401235020 in words is "one billion, four hundred one million, two hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7784639 15569278 23353917 31138556 38923195 46707834 70061751 77846390 93415668 116769585 140123502 155692780 233539170 280247004 350308755 467078340 700617510 1401235020