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5234001000 = 233538919603
BaseRepresentation
bin1001101111111100…
…01000010001101000
3111111202200210120220
410313332020101220
541204401013000
62223210450040
7243463163064
oct46776102150
914452623526
105234001000
112246503468
121020a33920
1365548c017
143791b4aa4
1520977a1a0
hex137f88468

5234001000 has 128 divisors (see below), whose sum is σ = 16514409600. Its totient is φ = 1379980800.

The previous prime is 5234000977. The next prime is 5234001007. The reversal of 5234001000 is 1004325.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5234001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257199 + ... + 276801.

It is an arithmetic number, because the mean of its divisors is an integer number (129018825).

Almost surely, 25234001000 is an apocalyptic number.

5234001000 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 5234001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257204800).

5234001000 is an abundant number, since it is smaller than the sum of its proper divisors (11280408600).

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

5234001000 is a wasteful number, since it uses less digits than its factorization.

5234001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19716 (or 19702 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5234001000 is about 72346.3959019383. The cubic root of 5234001000 is about 1736.2460355133.

Adding to 5234001000 its reverse (1004325), we get a palindrome (5235005325).

The spelling of 5234001000 in words is "five billion, two hundred thirty-four million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4450 5340 6675 8900 10680 11125 13350 17800 19603 22250 26700 33375 39206 44500 53400 58809 66750 78412 89000 98015 117618 133500 156824 196030 235236 267000 294045 392060 470472 490075 588090 784120 980150 1176180 1470225 1744667 1960300 2352360 2450375 2940450 3489334 3920600 4900750 5234001 5880900 6978668 7351125 8723335 9801500 10468002 11761800 13957336 14702250 17446670 19603000 20936004 26170005 29404500 34893340 41872008 43616675 52340010 58809000 69786680 87233350 104680020 130850025 174466700 209360040 218083375 261700050 348933400 436166750 523400100 654250125 872333500 1046800200 1308500250 1744667000 2617000500 5234001000