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1020146148 = 223274048199
BaseRepresentation
bin111100110011100…
…011000111100100
32122002120210102200
4330303203013210
54042124134043
6245121134500
734165046010
oct7463430744
92562523380
101020146148
1148393399a
1224578a430
13133471c98
14996b3540
155e8607d3
hex3cce31e4

1020146148 has 36 divisors (see below), whose sum is σ = 2947089600. Its totient is φ = 291470256.

The previous prime is 1020146143. The next prime is 1020146177. The reversal of 1020146148 is 8416410201.

It is a happy number.

1020146148 is a `hidden beast` number, since 10 + 20 + 14 + 614 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1020146143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2023848 + ... + 2024351.

It is an arithmetic number, because the mean of its divisors is an integer number (81863600).

Almost surely, 21020146148 is an apocalyptic number.

1020146148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1020146148 is an abundant number, since it is smaller than the sum of its proper divisors (1926943452).

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

1020146148 is a wasteful number, since it uses less digits than its factorization.

1020146148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048216 (or 4048211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1020146148 is about 31939.7267990820. The cubic root of 1020146148 is about 1006.6707843542.

Adding to 1020146148 its reverse (8416410201), we get a palindrome (9436556349).

The spelling of 1020146148 in words is "one billion, twenty million, one hundred forty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4048199 8096398 12144597 16192796 24289194 28337393 36433791 48578388 56674786 72867582 85012179 113349572 145735164 170024358 255036537 340048716 510073074 1020146148