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1939120272 = 243237363949
BaseRepresentation
bin111001110010100…
…1010000010010000
312000010210111221100
41303211022002100
512432403322042
6520230024400
766024151605
oct16345120220
95003714840
101939120272
11905645841
124614a8100
1324b97cb5b
1414576c6ac
15b538924c
hex7394a090

1939120272 has 60 divisors (see below), whose sum is σ = 5573530300. Its totient is φ = 628902144.

The previous prime is 1939120241. The next prime is 1939120273. The reversal of 1939120272 is 2720219391.

It can be written as a sum of positive squares in 2 ways, for example, as 691900416 + 1247219856 = 26304^2 + 35316^2 .

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 (1939120273) 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, 176647 + ... + 187302.

Almost surely, 21939120272 is an apocalyptic number.

1939120272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1939120272 is an abundant number, since it is smaller than the sum of its proper divisors (3634410028).

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

1939120272 is a wasteful number, since it uses less digits than its factorization.

1939120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364000 (or 363991 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1939120272 is about 44035.4433610018. The cubic root of 1939120272 is about 1247.0051551471.

The spelling of 1939120272 in words is "one billion, nine hundred thirty-nine million, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 363949 727898 1091847 1455796 2183694 2911592 3275541 4367388 5823184 6551082 8734776 13102164 13466113 17469552 26204328 26932226 40398339 52408656 53864452 80796678 107728904 121195017 161593356 215457808 242390034 323186712 484780068 646373424 969560136 1939120272