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31128216 = 23373143139
BaseRepresentation
bin111011010111…
…1101010011000
32011120110212220
41312233222120
530432100331
63031104040
7525404550
oct166575230
964513786
1031128216
11166310a9
12a512020
1365ab682
1441c4160
152aed296
hex1dafa98

31128216 has 128 divisors (see below), whose sum is σ = 94617600. Its totient is φ = 8346240.

The previous prime is 31128203. The next prime is 31128217. The reversal of 31128216 is 61282113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31128217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223875 + ... + 224013.

It is an arithmetic number, because the mean of its divisors is an integer number (739200).

Almost surely, 231128216 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 31128216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47308800).

31128216 is an abundant number, since it is smaller than the sum of its proper divisors (63489384).

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

31128216 is a wasteful number, since it uses less digits than its factorization.

31128216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 31128216 is about 5579.2666184724. The cubic root of 31128216 is about 314.5705611976.

The spelling of 31128216 in words is "thirty-one million, one hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 43 56 62 84 86 93 124 129 139 168 172 186 217 248 258 278 301 344 372 417 434 516 556 602 651 744 834 868 903 973 1032 1112 1204 1302 1333 1668 1736 1806 1946 2408 2604 2666 2919 3336 3612 3892 3999 4309 5208 5332 5838 5977 7224 7784 7998 8618 9331 10664 11676 11954 12927 15996 17236 17931 18662 23352 23908 25854 27993 30163 31992 34472 35862 37324 41839 47816 51708 55986 60326 71724 74648 83678 90489 103416 111972 120652 125517 143448 167356 180978 185287 223944 241304 251034 334712 361956 370574 502068 555861 723912 741148 1004136 1111722 1297009 1482296 2223444 2594018 3891027 4446888 5188036 7782054 10376072 15564108 31128216