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31480164 = 2235139233
BaseRepresentation
bin111100000010…
…1100101100100
32012020100200000
41320011211210
531024331124
63042421300
7531401622
oct170054544
965210600
1031480164
1116851571
12a661830
1366a2921
144276512
152b6c6c9
hex1e05964

31480164 has 72 divisors (see below), whose sum is σ = 83472480. Its totient is φ = 10373184.

The previous prime is 31480129. The next prime is 31480201. The reversal of 31480164 is 46108413.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134992 + ... + 135224.

It is an arithmetic number, because the mean of its divisors is an integer number (1159340).

Almost surely, 231480164 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 31480164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41736240).

31480164 is an abundant number, since it is smaller than the sum of its proper divisors (51992316).

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

31480164 is a wasteful number, since it uses less digits than its factorization.

31480164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31480164 is about 5610.7186705448. The cubic root of 31480164 is about 315.7516742651.

Adding to 31480164 its reverse (46108413), we get a palindrome (77588577).

The spelling of 31480164 in words is "thirty-one million, four hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 233 243 278 324 417 466 486 556 699 834 932 972 1251 1398 1668 2097 2502 2796 3753 4194 5004 6291 7506 8388 11259 12582 15012 18873 22518 25164 32387 33777 37746 45036 56619 64774 67554 75492 97161 113238 129548 135108 194322 226476 291483 388644 582966 874449 1165932 1748898 2623347 3497796 5246694 7870041 10493388 15740082 31480164