| Base | Representation |
|---|---|
| bin | 1110101000011… |
| … | …1100001100000 |
| 3 | 11021111001021000 |
| 4 | 3222013201200 |
| 5 | 111202410022 |
| 6 | 10031232000 |
| 7 | 1343441415 |
| oct | 352074140 |
| 9 | 137431230 |
| 10 | 61372512 |
| 11 | 31709093 |
| 12 | 18678600 |
| 13 | c93a8c6 |
| 14 | 821810c |
| 15 | 55c46ac |
| hex | 3a87860 |
61372512 has 96 divisors (see below), whose sum is σ = 180351360. Its totient is φ = 20304000.
The previous prime is 61372511. The next prime is 61372513. The reversal of 61372512 is 21527316.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (61372511) and next prime (61372513).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61372511) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216723 + ... + 217005.
It is an arithmetic number, because the mean of its divisors is an integer number (1878660).
Almost surely, 261372512 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 61372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175680).
61372512 is an abundant number, since it is smaller than the sum of its proper divisors (118978848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61372512 is a wasteful number, since it uses less digits than its factorization.
61372512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 553 (or 539 counting only the distinct ones).
The product of its digits is 2520, while the sum is 27.
The square root of 61372512 is about 7834.0610158461. The cubic root of 61372512 is about 394.4494000362.
Adding to 61372512 its reverse (21527316), we get a palindrome (82899828).
It can be divided in two parts, 6137 and 2512, that added together give a square (8649 = 932).
The spelling of 61372512 in words is "sixty-one million, three hundred seventy-two thousand, five hundred twelve".
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