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900078036 = 2231113524521
BaseRepresentation
bin110101101001100…
…001100111010100
32022201122200221120
4311221201213110
53320404444121
6225151443540
731206352134
oct6551414724
92281580846
10900078036
11422085a50
122115265b0
13114623070
148777aac4
1554044bc6
hex35a619d4

900078036 has 48 divisors (see below), whose sum is σ = 2467351488. Its totient is φ = 251769600.

The previous prime is 900078007. The next prime is 900078041. The reversal of 900078036 is 630870009.

It is a happy number.

900078036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 900077988 and 900078006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260545 + ... + 263976.

It is an arithmetic number, because the mean of its divisors is an integer number (51403156).

Almost surely, 2900078036 is an apocalyptic number.

It is an amenable number.

900078036 is an abundant number, since it is smaller than the sum of its proper divisors (1567273452).

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

900078036 is a wasteful number, since it uses less digits than its factorization.

900078036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524552 (or 524550 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 900078036 is about 30001.3005718085. The cubic root of 900078036 is about 965.5172885879.

The spelling of 900078036 in words is "nine hundred million, seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 524521 1049042 1573563 2098084 3147126 5769731 6294252 6818773 11539462 13637546 17309193 20456319 23078924 27275092 34618386 40912638 69236772 75006503 81825276 150013006 225019509 300026012 450039018 900078036