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1890973216 = 251131173293
BaseRepresentation
bin111000010110101…
…1111011000100000
311212210012101121001
41300231133120200
512333042120331
6511350041344
764601002306
oct16055373040
94783171531
101890973216
11890450190
12449349254
132419c2c82
1413d1d8276
15b1028561
hex70b5f620

1890973216 has 48 divisors (see below), whose sum is σ = 4192328448. Its totient is φ = 831801600.

The previous prime is 1890973181. The next prime is 1890973219. The reversal of 1890973216 is 6123790981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1890973219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75735 + ... + 97558.

It is an arithmetic number, because the mean of its divisors is an integer number (87340176).

Almost surely, 21890973216 is an apocalyptic number.

1890973216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1890973216 is an abundant number, since it is smaller than the sum of its proper divisors (2301355232).

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

1890973216 is a wasteful number, since it uses less digits than its factorization.

1890973216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173345 (or 173337 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 1890973216 is about 43485.3218454227. The cubic root of 1890973216 is about 1236.5977705007.

It can be divided in two parts, 1890 and 973216, that added together give a triangular number (975106 = T1396).

The spelling of 1890973216 in words is "one billion, eight hundred ninety million, nine hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 173293 346586 693172 1386344 1906223 2772688 3812446 5372083 5545376 7624892 10744166 15249784 21488332 30499568 42976664 59092913 60999136 85953328 118185826 171906656 236371652 472743304 945486608 1890973216