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1920216 = 233194211
BaseRepresentation
bin111010100110011011000
310121120001010
413110303120
5442421331
6105053520
722215204
oct7246330
93546033
101920216
1110a1761
127872a0
1352302c
1437db04
1527de46
hex1d4cd8

1920216 has 32 divisors (see below), whose sum is σ = 5054400. Its totient is φ = 606240.

The previous prime is 1920211. The next prime is 1920221. The reversal of 1920216 is 6120291.

1920216 = T56 + T57 + ... + T226.

It is an interprime number because it is at equal distance from previous prime (1920211) and next prime (1920221).

1920216 is a modest number, since divided by 216 gives 192 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1920192 and 1920201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920211) 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 7 ways as a sum of consecutive naturals, for example, 1650 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (157950).

21920216 is an apocalyptic number.

It is an amenable number.

1920216 is an abundant number, since it is smaller than the sum of its proper divisors (3134184).

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

1920216 is a wasteful number, since it uses less digits than its factorization.

1920216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1920216 is about 1385.7185861494. The cubic root of 1920216 is about 124.2939609121.

The spelling of 1920216 in words is "one million, nine hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4211 8422 12633 16844 25266 33688 50532 80009 101064 160018 240027 320036 480054 640072 960108 1920216