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1230054320 = 245118831583
BaseRepresentation
bin100100101010001…
…0010001110110000
310011201120020022102
41021110102032300
510004343214240
6322020155532
742324201125
oct11124221660
93151506272
101230054320
11581374020
122a3b38ba8
13167ab80c1
14b951474c
1572ec5815
hex495123b0

1230054320 has 80 divisors (see below), whose sum is σ = 3125371392. Its totient is φ = 446503680.

The previous prime is 1230054317. The next prime is 1230054323. The reversal of 1230054320 is 234500321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1230054317) and next prime (1230054323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1230054292 and 1230054301.

It is not an unprimeable number, because it can be changed into a prime (1230054323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776249 + ... + 777831.

Almost surely, 21230054320 is an apocalyptic number.

1230054320 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 1230054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562685696).

1230054320 is an abundant number, since it is smaller than the sum of its proper divisors (1895317072).

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

1230054320 is a wasteful number, since it uses less digits than its factorization.

1230054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1230054320 is about 35072.1302461085. The cubic root of 1230054320 is about 1071.4570420032.

Adding to 1230054320 its reverse (234500321), we get a palindrome (1464554641).

The spelling of 1230054320 in words is "one billion, two hundred thirty million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 883 1583 1766 3166 3532 4415 6332 7064 7915 8830 9713 12664 14128 15830 17413 17660 19426 25328 31660 34826 35320 38852 48565 63320 69652 70640 77704 87065 97130 126640 139304 155408 174130 194260 278608 348260 388520 696520 777040 1393040 1397789 2795578 5591156 6988945 11182312 13977890 15375679 22364624 27955780 30751358 55911560 61502716 76878395 111823120 123005432 153756790 246010864 307513580 615027160 1230054320