Search a number
-
+
1230883300 = 2252174991451
BaseRepresentation
bin100100101011101…
…1100100111100100
310011210010100110101
41021113130213210
510010101231200
6322050033444
742334223023
oct11127344744
93153110411
101230883300
1158188a929
122a4278884
1316801851a
14b968c8ba
15730db26a
hex495dc9e4

1230883300 has 72 divisors (see below), whose sum is σ = 2835756000. Its totient is φ = 462144000.

The previous prime is 1230883271. The next prime is 1230883301. The reversal of 1230883300 is 33880321.

It is not an unprimeable number, because it can be changed into a prime (1230883301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847575 + ... + 849025.

It is an arithmetic number, because the mean of its divisors is an integer number (39385500).

Almost surely, 21230883300 is an apocalyptic number.

1230883300 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 1230883300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417878000).

1230883300 is an abundant number, since it is smaller than the sum of its proper divisors (1604872700).

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

1230883300 is a wasteful number, since it uses less digits than its factorization.

1230883300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1230883300 is about 35083.9464712851. The cubic root of 1230883300 is about 1071.6976863891.

The spelling of 1230883300 in words is "one billion, two hundred thirty million, eight hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 499 850 998 1451 1700 1996 2495 2902 4990 5804 7255 8483 9980 12475 14510 16966 24667 24950 29020 33932 36275 42415 49334 49900 72550 84830 98668 123335 145100 169660 212075 246670 424150 493340 616675 724049 848300 1233350 1448098 2466700 2896196 3620245 7240490 12308833 14480980 18101225 24617666 36202450 49235332 61544165 72404900 123088330 246176660 307720825 615441650 1230883300