| Base | Representation |
|---|---|
| bin | 101011101000100… |
| … | …1111101111100000 |
| 3 | 10210001000221202000 |
| 4 | 1113101033233200 |
| 5 | 10444304414340 |
| 6 | 401141324000 |
| 7 | 51165655002 |
| oct | 12721175740 |
| 9 | 3701027660 |
| 10 | 1464138720 |
| 11 | 691517100 |
| 12 | 34a406600 |
| 13 | 1a4447495 |
| 14 | dc64a372 |
| 15 | 88813d30 |
| hex | 5744fbe0 |
1464138720 has 288 divisors, whose sum is σ = 5634709920. Its totient is φ = 354816000.
The previous prime is 1464138713. The next prime is 1464138737. The reversal of 1464138720 is 278314641.
1464138720 is a `hidden beast` number, since 1 + 4 + 641 + 3 + 8 + 7 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521320 + ... + 524120.
It is an arithmetic number, because the mean of its divisors is an integer number (19564965).
Almost surely, 21464138720 is an apocalyptic number.
1464138720 is a gapful number since it is divisible by the number (10) 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 1464138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817354960).
1464138720 is an abundant number, since it is smaller than the sum of its proper divisors (4170571200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1464138720 is a wasteful number, since it uses less digits than its factorization.
1464138720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2847 (or 2822 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 1464138720 is about 38264.0656491178. The cubic root of 1464138720 is about 1135.5181369028.
It can be divided in two parts, 14641 and 38720, that added together give a square (53361 = 2312).
The spelling of 1464138720 in words is "one billion, four hundred sixty-four million, one hundred thirty-eight thousand, seven hundred twenty".
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