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4023015000 = 23354674003
BaseRepresentation
bin1110111111001010…
…0101011001011000
3101101101000100002120
43233302211121120
531214342440000
61503111101240
7201460030464
oct35762453130
911341010076
104023015000
111784983794
12943371820
134c161c264
142a24254a4
151882be6a0
hexefca5658

4023015000 has 160 divisors (see below), whose sum is σ = 12758665920. Its totient is φ = 1056528000.

The previous prime is 4023014977. The next prime is 4023015011. The reversal of 4023015000 is 5103204.

It is a super-3 number, since 3×40230150003 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1002999 + ... + 1007001.

It is an arithmetic number, because the mean of its divisors is an integer number (79741662).

Almost surely, 24023015000 is an apocalyptic number.

4023015000 is a gapful number since it is divisible by the number (40) 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 4023015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379332960).

4023015000 is an abundant number, since it is smaller than the sum of its proper divisors (8735650920).

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

4023015000 is a wasteful number, since it uses less digits than its factorization.

4023015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4080 counting only the distinct ones).

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

The square root of 4023015000 is about 63427.2417814302. The cubic root of 4023015000 is about 1590.4397343931.

Adding to 4023015000 its reverse (5103204), we get a palindrome (4028118204).

The spelling of 4023015000 in words is "four billion, twenty-three million, fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 625 670 750 804 1000 1005 1250 1340 1500 1608 1675 1875 2010 2500 2680 3000 3350 3750 4003 4020 5000 5025 6700 7500 8006 8040 8375 10050 12009 13400 15000 16012 16750 20015 20100 24018 25125 32024 33500 40030 40200 41875 48036 50250 60045 67000 80060 83750 96072 100075 100500 120090 125625 160120 167500 200150 201000 240180 251250 268201 300225 335000 400300 480360 500375 502500 536402 600450 800600 804603 1000750 1005000 1072804 1200900 1341005 1501125 1609206 2001500 2145608 2401800 2501875 2682010 3002250 3218412 4003000 4023015 5003750 5364020 6004500 6436824 6705025 7505625 8046030 10007500 10728040 12009000 13410050 15011250 16092060 20015000 20115075 26820100 30022500 32184120 33525125 40230150 53640200 60045000 67050250 80460300 100575375 134100500 160920600 167625625 201150750 268201000 335251250 402301500 502876875 670502500 804603000 1005753750 1341005000 2011507500 4023015000