Base | Representation |
---|---|
bin | 110101110000110… |
… | …000011111110000 |
3 | 2022212020000201110 |
4 | 311300300133300 |
5 | 3321401132000 |
6 | 225300233320 |
7 | 31231436544 |
oct | 6560603760 |
9 | 2285200643 |
10 | 901974000 |
11 | 423160464 |
12 | 21209b840 |
13 | 114b38035 |
14 | 87b11a24 |
15 | 542bb850 |
hex | 35c307f0 |
901974000 has 80 divisors (see below), whose sum is σ = 2907983520. Its totient is φ = 240524800.
The previous prime is 901973873. The next prime is 901974001. The reversal of 901974000 is 479109.
901974000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (30) 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 (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (901974001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69165 + ... + 81164.
It is an arithmetic number, because the mean of its divisors is an integer number (36349794).
Almost surely, 2901974000 is an apocalyptic number.
It is an amenable number.
901974000 is an abundant number, since it is smaller than the sum of its proper divisors (2006009520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
901974000 is a wasteful number, since it uses less digits than its factorization.
901974000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150355 (or 150339 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 30.
The square root of 901974000 is about 30032.8819795903. The cubic root of 901974000 is about 966.1947491736.
The spelling of 901974000 in words is "nine hundred one million, nine hundred seventy-four thousand".
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