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901368 = 233413107
BaseRepresentation
bin11011100000011111000
31200210110000
43130003320
5212320433
631153000
710442616
oct3340370
91623400
10901368
11566236
12375760
13257370
141966b6
1512c113
hexdc0f8

901368 has 80 divisors (see below), whose sum is σ = 2744280. Its totient is φ = 274752.

The previous prime is 901367. The next prime is 901399. The reversal of 901368 is 863109.

901368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8371 + ... + 8477.

2901368 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 901368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372140).

901368 is an abundant number, since it is smaller than the sum of its proper divisors (1842912).

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

901368 is a wasteful number, since it uses less digits than its factorization.

901368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 901368 is about 949.4040235853. The cubic root of 901368 is about 96.5978318251.

The spelling of 901368 in words is "nine hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 107 108 117 156 162 214 216 234 312 321 324 351 428 468 642 648 702 856 936 963 1053 1284 1391 1404 1926 2106 2568 2782 2808 2889 3852 4173 4212 5564 5778 7704 8346 8424 8667 11128 11556 12519 16692 17334 23112 25038 33384 34668 37557 50076 69336 75114 100152 112671 150228 225342 300456 450684 901368