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901981104 = 2431710910141
BaseRepresentation
bin110101110000110…
…010001110110000
32022212020101110120
4311300302032300
53321401343404
6225300330240
731231466343
oct6560621660
92285211416
10901981104
11423165832
122120a3980
13114b3b33b
1487b1445a
15542bd9d9
hex35c323b0

901981104 has 80 divisors (see below), whose sum is σ = 2490063840. Its totient is φ = 280350720.

The previous prime is 901981103. The next prime is 901981111. The reversal of 901981104 is 401189109.

It is not an unprimeable number, because it can be changed into a prime (901981103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83874 + ... + 94014.

It is an arithmetic number, because the mean of its divisors is an integer number (31125798).

Almost surely, 2901981104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245031920).

901981104 is an abundant number, since it is smaller than the sum of its proper divisors (1588082736).

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

901981104 is a wasteful number, since it uses less digits than its factorization.

901981104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10278 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 901981104 is about 30033.0002497253. Note that the first 3 decimals coincide. The cubic root of 901981104 is about 966.1972857690.

The spelling of 901981104 in words is "nine hundred one million, nine hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 109 136 204 218 272 327 408 436 654 816 872 1308 1744 1853 2616 3706 5232 5559 7412 10141 11118 14824 20282 22236 29648 30423 40564 44472 60846 81128 88944 121692 162256 172397 243384 344794 486768 517191 689588 1034382 1105369 1379176 2068764 2210738 2758352 3316107 4137528 4421476 6632214 8275056 8842952 13264428 17685904 18791273 26528856 37582546 53057712 56373819 75165092 112747638 150330184 225495276 300660368 450990552 901981104