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1230540000 = 2535420509
BaseRepresentation
bin100100101011000…
…1000110011100000
310011202110220112120
41021112020303200
510010004240000
6322034424240
742331263114
oct11126106340
93152426476
101230540000
11581675a08
122a4132080
13167c281a1
14b95dd744
157306e6a0
hex49588ce0

1230540000 has 120 divisors (see below), whose sum is σ = 4036614120. Its totient is φ = 328128000.

The previous prime is 1230539993. The next prime is 1230540037. The reversal of 1230540000 is 450321.

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 49746 + ... + 70254.

It is an arithmetic number, because the mean of its divisors is an integer number (33638451).

Almost surely, 21230540000 is an apocalyptic number.

1230540000 is a gapful number since it is divisible by the number (10) 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 1230540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018307060).

1230540000 is an abundant number, since it is smaller than the sum of its proper divisors (2806074120).

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

1230540000 is an equidigital number, since it uses as much as digits as its factorization.

1230540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20542 (or 20519 counting only the distinct ones).

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

The square root of 1230540000 is about 35079.0535790235. The cubic root of 1230540000 is about 1071.5980430339.

Adding to 1230540000 its reverse (450321), we get a palindrome (1230990321).

The spelling of 1230540000 in words is "one billion, two hundred thirty million, five hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 20509 30000 41018 60000 61527 82036 102545 123054 164072 205090 246108 307635 328144 410180 492216 512725 615270 656288 820360 984432 1025450 1230540 1538175 1640720 1968864 2050900 2461080 2563625 3076350 3281440 4101800 4922160 5127250 6152700 7690875 8203600 9844320 10254500 12305400 12818125 15381750 16407200 20509000 24610800 25636250 30763500 38454375 41018000 49221600 51272500 61527000 76908750 82036000 102545000 123054000 153817500 205090000 246108000 307635000 410180000 615270000 1230540000