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5708406000 = 243531186491
BaseRepresentation
bin1010101000011111…
…10101110011110000
3112201211101001220110
411110033311303300
543142322443000
62342234541320
7261313436043
oct52417656360
915654331813
105708406000
11246a278a10
121133897840
136cc85213b
143c21c6c5a
15236239850
hex1543f5cf0

5708406000 has 160 divisors (see below), whose sum is σ = 20077214976. Its totient is φ = 1383840000.

The previous prime is 5708405957. The next prime is 5708406019. The reversal of 5708406000 is 6048075.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22755 + ... + 109245.

Almost surely, 25708406000 is an apocalyptic number.

5708406000 is a gapful number since it is divisible by the number (50) 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 5708406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038607488).

5708406000 is an abundant number, since it is smaller than the sum of its proper divisors (14368808976).

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

5708406000 is a wasteful number, since it uses less digits than its factorization.

5708406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86528 (or 86512 counting only the distinct ones).

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

The square root of 5708406000 is about 75553.9939381102. The cubic root of 5708406000 is about 1787.1936717313.

The spelling of 5708406000 in words is "five billion, seven hundred eight million, four hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 86491 172982 259473 345964 432455 518946 691928 864910 951401 1037892 1297365 1383856 1729820 1902802 2075784 2162275 2594730 2854203 3459640 3805604 4151568 4324550 4757005 5189460 5708406 6486825 6919280 7611208 8649100 9514010 10378920 10811375 11416812 12973650 14271015 15222416 17298200 19028020 20757840 21622750 22833624 23785025 25947300 28542030 32434125 34596400 38056040 43245500 45667248 47570050 51894600 57084060 64868250 71355075 76112080 86491000 95140100 103789200 114168120 118925125 129736500 142710150 172982000 190280200 228336240 237850250 259473000 285420300 356775375 380560400 475700500 518946000 570840600 713550750 951401000 1141681200 1427101500 1902802000 2854203000 5708406000