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1901216 = 25195359
BaseRepresentation
bin111010000001010100000
310120120222102
413100022200
5441314331
6104425532
722105622
oct7201240
93516872
101901216
111089459
127782a8
135174a5
14376c12
152784cb
hex1d02a0

1901216 has 48 divisors (see below), whose sum is σ = 4082400. Its totient is φ = 868608.

The previous prime is 1901209. The next prime is 1901219. The reversal of 1901216 is 6121091.

It is a super-2 number, since 2×19012162 = 7229244557312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32195 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

21901216 is an apocalyptic number.

1901216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041200).

1901216 is an abundant number, since it is smaller than the sum of its proper divisors (2181184).

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

1901216 is a wasteful number, since it uses less digits than its factorization.

1901216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1901216 is about 1378.8458942173. The cubic root of 1901216 is about 123.8826499912.

The spelling of 1901216 in words is "one million, nine hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 53 59 76 106 118 152 212 236 304 424 472 608 848 944 1007 1121 1696 1888 2014 2242 3127 4028 4484 6254 8056 8968 12508 16112 17936 25016 32224 35872 50032 59413 100064 118826 237652 475304 950608 1901216