| Base | Representation |
|---|---|
| bin | 110010001110000… |
| … | …001110100000000 |
| 3 | 2011201101101012000 |
| 4 | 302032001310000 |
| 5 | 3211142210430 |
| 6 | 215334304000 |
| 7 | 26610312465 |
| oct | 6216016400 |
| 9 | 2151341160 |
| 10 | 842538240 |
| 11 | 3a26554a5 |
| 12 | 1b61b8000 |
| 13 | 105727b4b |
| 14 | 7dc7d66c |
| 15 | 4de7ae60 |
| hex | 32381d00 |
842538240 has 144 divisors (see below), whose sum is σ = 2989963200. Its totient is φ = 224667648.
The previous prime is 842538227. The next prime is 842538253. The reversal of 842538240 is 42835248.
842538240 is a `hidden beast` number, since 84 + 2 + 538 + 2 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (842538227) and next prime (842538253).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 842538195 and 842538204.
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, 22371 + ... + 46749.
Almost surely, 2842538240 is an apocalyptic number.
842538240 is a gapful number since it is divisible by the number (80) 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 842538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494981600).
842538240 is an abundant number, since it is smaller than the sum of its proper divisors (2147424960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
842538240 is a wasteful number, since it uses less digits than its factorization.
842538240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24409 (or 24389 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 842538240 is about 29026.5092630857. The cubic root of 842538240 is about 944.4882086397.
It can be divided in two parts, 8425 and 38240, that added together give a triangular number (46665 = T305).
The spelling of 842538240 in words is "eight hundred forty-two million, five hundred thirty-eight thousand, two hundred forty".
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