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401136 = 24361137
BaseRepresentation
bin1100001111011110000
3202101020220
41201323300
5100314021
612333040
73260331
oct1417360
9671226
10401136
1125441a
12174180
13110778
14a6288
157dcc6
hex61ef0

401136 has 40 divisors (see below), whose sum is σ = 1060944. Its totient is φ = 130560.

The previous prime is 401119. The next prime is 401161. The reversal of 401136 is 631104.

It is a congruent number.

It is an unprimeable number.

401136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2860 + ... + 2996.

2401136 is an apocalyptic number.

401136 is the 366-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530472).

401136 is an abundant number, since it is smaller than the sum of its proper divisors (659808).

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

401136 is a wasteful number, since it uses less digits than its factorization.

401136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 401136 is about 633.3529821513. The cubic root of 401136 is about 73.7503150422.

It can be divided in two parts, 40 and 1136, that added together give a triangular number (1176 = T48).

The spelling of 401136 in words is "four hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 137 183 244 274 366 411 488 548 732 822 976 1096 1464 1644 2192 2928 3288 6576 8357 16714 25071 33428 50142 66856 100284 133712 200568 401136