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31100720 = 2457193779
BaseRepresentation
bin111011010100…
…0111100110000
32011112002011112
41312220330300
530430210340
63030332452
7525231440
oct166507460
964462145
1031100720
1116612482
12a4ba128
13659bcc1
1441b8120
152ae5065
hex1da8f30

31100720 has 160 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 9704448.

The previous prime is 31100717. The next prime is 31100737. The reversal of 31100720 is 2700113.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31100695 and 31100704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393641 + ... + 393719.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 231100720 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 31100720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

31100720 is an abundant number, since it is smaller than the sum of its proper divisors (59369680).

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

31100720 is a wasteful number, since it uses less digits than its factorization.

31100720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 31100720 is about 5576.8019509393. The cubic root of 31100720 is about 314.4779123489.

Adding to 31100720 its reverse (2700113), we get a palindrome (33800833).

The spelling of 31100720 in words is "thirty-one million, one hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 37 38 40 56 70 74 76 79 80 95 112 133 140 148 152 158 185 190 259 266 280 296 304 316 370 380 395 518 532 553 560 592 632 665 703 740 760 790 1036 1064 1106 1264 1295 1330 1406 1480 1501 1520 1580 2072 2128 2212 2590 2660 2765 2812 2923 2960 3002 3160 3515 4144 4424 4921 5180 5320 5530 5624 5846 6004 6320 7030 7505 8848 9842 10360 10507 10640 11060 11248 11692 12008 14060 14615 15010 19684 20461 20720 21014 22120 23384 24016 24605 28120 29230 30020 39368 40922 42028 44240 46768 49210 52535 55537 56240 58460 60040 78736 81844 84056 98420 102305 105070 111074 116920 120080 163688 168112 196840 204610 210140 222148 233840 277685 327376 388759 393680 409220 420280 444296 555370 777518 818440 840560 888592 1110740 1555036 1636880 1943795 2221480 3110072 3887590 4442960 6220144 7775180 15550360 31100720