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1146461216 = 25191885627
BaseRepresentation
bin100010001010101…
…1001110000100000
32221220021021010112
41010111121300200
54321443224331
6305432350452
740260521345
oct10425316040
92856237115
101146461216
1153916930a
1227bb45428
1315369a424
14ac3947cc
156a9b232b
hex44559c20

1146461216 has 24 divisors (see below), whose sum is σ = 2375891280. Its totient is φ = 543060288.

The previous prime is 1146461213. The next prime is 1146461219. The reversal of 1146461216 is 6121646411.

It is an interprime number because it is at equal distance from previous prime (1146461213) and next prime (1146461219).

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

It is not an unprimeable number, because it can be changed into a prime (1146461213) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 942206 + ... + 943421.

It is an arithmetic number, because the mean of its divisors is an integer number (98995470).

Almost surely, 21146461216 is an apocalyptic number.

1146461216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1146461216 is an abundant number, since it is smaller than the sum of its proper divisors (1229430064).

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

1146461216 is a wasteful number, since it uses less digits than its factorization.

1146461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885656 (or 1885648 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 1146461216 is about 33859.4331907668. The cubic root of 1146461216 is about 1046.6137976640.

The spelling of 1146461216 in words is "one billion, one hundred forty-six million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1885627 3771254 7542508 15085016 30170032 35826913 60340064 71653826 143307652 286615304 573230608 1146461216