Search a number
-
+
9035040 = 253572689
BaseRepresentation
bin100010011101…
…110100100000
3122000000202010
4202131310200
54303110130
6521352520
7136540140
oct42356440
918000663
109035040
115111183
123038740
131b445a1
1412b2920
15bd70b0
hex89dd20

9035040 has 96 divisors (see below), whose sum is σ = 32538240. Its totient is φ = 2064384.

The previous prime is 9035029. The next prime is 9035063. The reversal of 9035040 is 405309.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 9034998 and 9035016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2016 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (338940).

Almost surely, 29035040 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 9035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269120).

9035040 is an abundant number, since it is smaller than the sum of its proper divisors (23503200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9035040 is a wasteful number, since it uses less digits than its factorization.

9035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 9035040 is about 3005.8343267719. The cubic root of 9035040 is about 208.2779813838.

The spelling of 9035040 in words is "nine million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 2689 3360 5378 8067 10756 13445 16134 18823 21512 26890 32268 37646 40335 43024 53780 56469 64536 75292 80670 86048 94115 107560 112938 129072 150584 161340 188230 215120 225876 258144 282345 301168 322680 376460 430240 451752 564690 602336 645360 752920 903504 1129380 1290720 1505840 1807008 2258760 3011680 4517520 9035040