Search a number
-
+
1149482016 = 2534676619
BaseRepresentation
bin100010010000011…
…1011010000100000
32222002221201220000
41010200323100200
54323231411031
6310021220000
740325302344
oct10440732040
92862851800
101149482016
1153a941941
12280b61600
131541b7397
14ac93d624
156adac3e6
hex4483b420

1149482016 has 120 divisors (see below), whose sum is σ = 3431569680. Its totient is φ = 377384832.

The previous prime is 1149482011. The next prime is 1149482029. The reversal of 1149482016 is 6102849411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1149482011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170355 + ... + 176973.

It is an arithmetic number, because the mean of its divisors is an integer number (28596414).

Almost surely, 21149482016 is an apocalyptic number.

1149482016 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 1149482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715784840).

1149482016 is an abundant number, since it is smaller than the sum of its proper divisors (2282087664).

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

1149482016 is an equidigital number, since it uses as much as digits as its factorization.

1149482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1149482016 is about 33904.0117980159. The cubic root of 1149482016 is about 1047.5322291354.

It can be divided in two parts, 114948 and 2016, that added together give a square (116964 = 3422).

The spelling of 1149482016 in words is "one billion, one hundred forty-nine million, four hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 201 216 268 288 324 402 432 536 603 648 804 864 1072 1206 1296 1608 1809 2144 2412 2592 3216 3618 4824 5427 6432 6619 7236 9648 10854 13238 14472 19296 19857 21708 26476 28944 39714 43416 52952 57888 59571 79428 86832 105904 119142 158856 173664 178713 211808 238284 317712 357426 443473 476568 536139 635424 714852 886946 953136 1072278 1330419 1429704 1773892 1906272 2144556 2660838 2859408 3547784 3991257 4289112 5321676 5718816 7095568 7982514 8578224 10643352 11973771 14191136 15965028 17156448 21286704 23947542 31930056 35921313 42573408 47895084 63860112 71842626 95790168 127720224 143685252 191580336 287370504 383160672 574741008 1149482016