Search a number
-
+
11960810240 = 28514836301
BaseRepresentation
bin10110010001110101…
…10111101100000000
31010212120101010002212
423020322313230000
5143443431411430
65254505401252
7602254131611
oct131072675400
933776333085
1011960810240
115088624845
122399799228
131187cc2a12
14816739c08
154a00cdb95
hex2c8eb7b00

11960810240 has 72 divisors (see below), whose sum is σ = 28673747088. Its totient is φ = 4780339200.

The previous prime is 11960810233. The next prime is 11960810269. The reversal of 11960810240 is 4201806911.

It is a super-3 number, since 3×119608102403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11960810197 and 11960810206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895090 + ... + 1901390.

Almost surely, 211960810240 is an apocalyptic number.

11960810240 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 11960810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336873544).

11960810240 is an abundant number, since it is smaller than the sum of its proper divisors (16712936848).

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

11960810240 is an equidigital number, since it uses as much as digits as its factorization.

11960810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 11960810240 in words is "eleven billion, nine hundred sixty million, eight hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1483 2966 5932 6301 7415 11864 12602 14830 23728 25204 29660 31505 47456 50408 59320 63010 94912 100816 118640 126020 189824 201632 237280 252040 379648 403264 474560 504080 806528 949120 1008160 1613056 1898240 2016320 4032640 8065280 9344383 18688766 37377532 46721915 74755064 93443830 149510128 186887660 299020256 373775320 598040512 747550640 1196081024 1495101280 2392162048 2990202560 5980405120 11960810240