| Base | Representation |
|---|---|
| bin | 1000101111101… |
| … | …01001010100100 |
| 3 | 12010000212102200 |
| 4 | 10113311022210 |
| 5 | 122234342230 |
| 6 | 11140134500 |
| 7 | 1550341500 |
| oct | 427651244 |
| 9 | 163025380 |
| 10 | 73355940 |
| 11 | 38453449 |
| 12 | 20697430 |
| 13 | 122751a8 |
| 14 | 9a57300 |
| 15 | 6690160 |
| hex | 45f52a4 |
73355940 has 108 divisors (see below), whose sum is σ = 258872796. Its totient is φ = 16765056.
The previous prime is 73355923. The next prime is 73355957. The reversal of 73355940 is 4955337.
It is an interprime number because it is at equal distance from previous prime (73355923) and next prime (73355957).
It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 18714276 = 7392^2 + 4326^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 73355895 and 73355904.
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 35 ways as a sum of consecutive naturals, for example, 4662 + ... + 12978.
Almost surely, 273355940 is an apocalyptic number.
73355940 is a gapful number since it is divisible by the number (70) 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 73355940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129436398).
73355940 is an abundant number, since it is smaller than the sum of its proper divisors (185516856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73355940 is a wasteful number, since it uses less digits than its factorization.
73355940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8346 (or 8334 counting only the distinct ones).
The product of its (nonzero) digits is 56700, while the sum is 36.
The square root of 73355940 is about 8564.8082290265. The cubic root of 73355940 is about 418.6120852728.
The spelling of 73355940 in words is "seventy-three million, three hundred fifty-five thousand, nine hundred forty".
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