Search a number
-
+
1230879936 = 2631113127353
BaseRepresentation
bin100100101011101…
…1011110011000000
310011210010011211210
41021113123303000
510010101124221
6322050010120
742334210146
oct11127336300
93153104753
101230879936
11581888350
122a4276940
13168016b30
14b968b596
15730da276
hex495dbcc0

1230879936 has 224 divisors, whose sum is σ = 3867107328. Its totient is φ = 340623360.

The previous prime is 1230879931. The next prime is 1230879971. The reversal of 1230879936 is 6399780321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1230879931) 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, 3486736 + ... + 3487088.

It is an arithmetic number, because the mean of its divisors is an integer number (17263872).

Almost surely, 21230879936 is an apocalyptic number.

1230879936 is a gapful number since it is divisible by the number (16) 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 1230879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933553664).

1230879936 is an abundant number, since it is smaller than the sum of its proper divisors (2636227392).

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

1230879936 is a wasteful number, since it uses less digits than its factorization.

1230879936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1230879936 is about 35083.8985290974. The cubic root of 1230879936 is about 1071.6967100728.

The spelling of 1230879936 in words is "one billion, two hundred thirty million, eight hundred seventy-nine thousand, nine hundred thirty-six".