Search a number
-
+
1146201948 = 2233171973169
BaseRepresentation
bin100010001010001…
…1010011101011100
32221212210002111000
41010110122131130
54321411430243
6305423030300
740255361433
oct10424323534
92855702430
101146201948
11539001541
1227ba3b390
13153609408
14ac32811a
156a9605d3
hex4451a75c

1146201948 has 96 divisors (see below), whose sum is σ = 3163406400. Its totient is φ = 357654528.

The previous prime is 1146201929. The next prime is 1146201949. The reversal of 1146201948 is 8491026411.

1146201948 is a `hidden beast` number, since 1 + 1 + 462 + 0 + 194 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146201949) 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, 360108 + ... + 363276.

It is an arithmetic number, because the mean of its divisors is an integer number (32952150).

Almost surely, 21146201948 is an apocalyptic number.

1146201948 is a gapful number since it is divisible by the number (18) 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 1146201948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581703200).

1146201948 is an abundant number, since it is smaller than the sum of its proper divisors (2017204452).

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

1146201948 is a wasteful number, since it uses less digits than its factorization.

1146201948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3388 counting only the distinct ones).

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

The square root of 1146201948 is about 33855.6043809588. The cubic root of 1146201948 is about 1046.5348957584.

The spelling of 1146201948 in words is "one billion, one hundred forty-six million, two hundred one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 197 204 306 394 459 591 612 788 918 1182 1773 1836 2364 3169 3349 3546 5319 6338 6698 7092 9507 10047 10638 12676 13396 19014 20094 21276 28521 30141 38028 40188 53873 57042 60282 85563 90423 107746 114084 120564 161619 171126 180846 215492 323238 342252 361692 484857 624293 646476 969714 1248586 1454571 1872879 1939428 2497172 2909142 3745758 5618637 5818284 7491516 10612981 11237274 16855911 21225962 22474548 31838943 33711822 42451924 63677886 67423644 95516829 127355772 191033658 286550487 382067316 573100974 1146201948