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1166411428 = 2271310131727
BaseRepresentation
bin100010110000110…
…0000011010100100
310000021210211200021
41011201200122210
54342100131203
6311424124524
740622222260
oct10541403244
93007724607
101166411428
11549455196
12286766744
13157863ca0
14b0ca90a0
156c6035bd
hex458606a4

1166411428 has 48 divisors (see below), whose sum is σ = 2537224704. Its totient is φ = 456854400.

The previous prime is 1166411417. The next prime is 1166411453. The reversal of 1166411428 is 8241146611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1166411393 and 1166411402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20901 + ... + 52627.

It is an arithmetic number, because the mean of its divisors is an integer number (52858848).

Almost surely, 21166411428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166411428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268612352).

1166411428 is an abundant number, since it is smaller than the sum of its proper divisors (1370813276).

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

1166411428 is a wasteful number, since it uses less digits than its factorization.

1166411428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31852 (or 31850 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 1166411428 is about 34152.7660373212. The cubic root of 1166411428 is about 1052.6498235720.

The spelling of 1166411428 in words is "one billion, one hundred sixty-six million, four hundred eleven thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 2626 2828 5252 9191 18382 31727 36764 63454 126908 222089 412451 444178 824902 888356 1649804 2887157 3204427 5774314 6408854 11548628 12817708 22430989 41657551 44861978 83315102 89723956 166630204 291602857 583205714 1166411428