Search a number
-
+
578000640 = 2835721503
BaseRepresentation
bin100010011100111…
…001011100000000
31111021121110211010
4202130321130000
52140432010030
6133204320520
720215632030
oct4234713400
91437543733
10578000640
112772a2488
121416a3140
1392995419
1456a9b8c0
1535b246b0
hex22739700

578000640 has 144 divisors (see below), whose sum is σ = 2109800448. Its totient is φ = 132108288.

The previous prime is 578000627. The next prime is 578000659. The reversal of 578000640 is 46000875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 578000598 and 578000607.

It is a congruent number.

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, 16129 + ... + 37631.

It is an arithmetic number, because the mean of its divisors is an integer number (14651392).

Almost surely, 2578000640 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 578000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054900224).

578000640 is an abundant number, since it is smaller than the sum of its proper divisors (1531799808).

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

578000640 is a wasteful number, since it uses less digits than its factorization.

578000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21534 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 578000640 is about 24041.6438705842. The cubic root of 578000640 is about 832.9957259996.

The spelling of 578000640 in words is "five hundred seventy-eight million, six hundred forty", and thus it is an aban number.

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 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 21503 26880 43006 64509 86012 107515 129018 150521 172024 215030 258036 301042 322545 344048 430060 451563 516072 602084 645090 688096 752605 860120 903126 1032144 1204168 1290180 1376192 1505210 1720240 1806252 2064288 2257815 2408336 2580360 2752384 3010420 3440480 3612504 4128576 4515630 4816672 5160720 5504768 6020840 6880960 7225008 8257152 9031260 9633344 10321440 12041680 13761920 14450016 16514304 18062520 19266688 20642880 24083360 27523840 28900032 36125040 38533376 41285760 48166720 57800064 72250080 82571520 96333440 115600128 144500160 192666880 289000320 578000640