| Base | Representation |
|---|---|
| bin | 111001111110101… |
| … | …001111101101000 |
| 3 | 2111210100121101100 |
| 4 | 321332221331220 |
| 5 | 3443004213440 |
| 6 | 240304521400 |
| 7 | 33051015132 |
| oct | 7176517550 |
| 9 | 2453317340 |
| 10 | 972726120 |
| 11 | 45a095593 |
| 12 | 231920260 |
| 13 | 1266aacb2 |
| 14 | 9328c052 |
| 15 | 5a5e5230 |
| hex | 39fa9f68 |
972726120 has 192 divisors, whose sum is σ = 3413404800. Its totient is φ = 239500800.
The previous prime is 972726101. The next prime is 972726121. The reversal of 972726120 is 21627279.
It is a super-2 number, since 2×9727261202 = 1892392209060508800, which contains 22 as substring.
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 not an unprimeable number, because it can be changed into a prime (972726121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238095 + ... + 242145.
It is an arithmetic number, because the mean of its divisors is an integer number (17778150).
Almost surely, 2972726120 is an apocalyptic number.
972726120 is a gapful number since it is divisible by the number (90) 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 972726120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706702400).
972726120 is an abundant number, since it is smaller than the sum of its proper divisors (2440678680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
972726120 is a wasteful number, since it uses less digits than its factorization.
972726120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4120 (or 4113 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 972726120 is about 31188.5575171408. The cubic root of 972726120 is about 990.8247794658.
The spelling of 972726120 in words is "nine hundred seventy-two million, seven hundred twenty-six thousand, one hundred twenty".
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