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5406035000 = 235423291621
BaseRepresentation
bin1010000100011100…
…11000110000111000
3111221202102000212112
411002032120300320
542032421110000
62252234031452
7250652352662
oct50216306070
914852360775
105406035000
112324625123
12106a578588
136820040a2
14393d97532
1521990d235
hex142398c38

5406035000 has 160 divisors (see below), whose sum is σ = 13681245600. Its totient is φ = 1995840000.

The previous prime is 5406034981. The next prime is 5406035051. The reversal of 5406035000 is 5306045.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3334190 + ... + 3335810.

It is an arithmetic number, because the mean of its divisors is an integer number (85507785).

Almost surely, 25406035000 is an apocalyptic number.

5406035000 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 5406035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840622800).

5406035000 is an abundant number, since it is smaller than the sum of its proper divisors (8275210600).

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

5406035000 is a wasteful number, since it uses less digits than its factorization.

5406035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 5406035000 is about 73525.7437908655. The cubic root of 5406035000 is about 1755.0639717160.

The spelling of 5406035000 in words is "five billion, four hundred six million, thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 125 145 184 200 230 232 250 290 460 500 575 580 625 667 725 920 1000 1150 1160 1250 1334 1450 1621 2300 2500 2668 2875 2900 3242 3335 3625 4600 5000 5336 5750 5800 6484 6670 7250 8105 11500 12968 13340 14375 14500 16210 16675 18125 23000 26680 28750 29000 32420 33350 36250 37283 40525 47009 57500 64840 66700 72500 74566 81050 83375 94018 115000 133400 145000 149132 162100 166750 186415 188036 202625 235045 298264 324200 333500 372830 376072 405250 416875 470090 667000 745660 810500 833750 932075 940180 1013125 1081207 1175225 1491320 1621000 1667500 1864150 1880360 2026250 2162414 2350450 3335000 3728300 4052500 4324828 4660375 4700900 5406035 5876125 7456600 8105000 8649656 9320750 9401800 10812070 11752250 18641500 21624140 23301875 23504500 27030175 29380625 37283000 43248280 46603750 47009000 54060350 58761250 93207500 108120700 117522500 135150875 186415000 216241400 235045000 270301750 540603500 675754375 1081207000 1351508750 2703017500 5406035000