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31300080 = 2435731601
BaseRepresentation
bin111011101100…
…1100111110000
32011220012122020
41313121213300
531003100310
63034511440
7530021610
oct167314760
964805566
1031300080
1116739239
12a595580
13663b976
14422aa40
152b34170
hex1dd99f0

31300080 has 160 divisors (see below), whose sum is σ = 114659328. Its totient is φ = 6912000.

The previous prime is 31300069. The next prime is 31300081. The reversal of 31300080 is 8000313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300081) 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, 51780 + ... + 52380.

Almost surely, 231300080 is an apocalyptic number.

31300080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57329664).

31300080 is an abundant number, since it is smaller than the sum of its proper divisors (83359248).

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

31300080 is a wasteful number, since it uses less digits than its factorization.

31300080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

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

The square root of 31300080 is about 5594.6474419752. The cubic root of 31300080 is about 315.1484309288.

Adding to 31300080 its reverse (8000313), we get a palindrome (39300393).

The spelling of 31300080 in words is "thirty-one million, three hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 601 620 651 744 840 868 930 1085 1202 1240 1302 1488 1680 1736 1803 1860 2170 2404 2480 2604 3005 3255 3472 3606 3720 4207 4340 4808 5208 6010 6510 7212 7440 8414 8680 9015 9616 10416 12020 12621 13020 14424 16828 17360 18030 18631 21035 24040 25242 26040 28848 33656 36060 37262 42070 48080 50484 52080 55893 63105 67312 72120 74524 84140 93155 100968 111786 126210 130417 144240 149048 168280 186310 201936 223572 252420 260834 279465 298096 336560 372620 391251 447144 504840 521668 558930 652085 745240 782502 894288 1009680 1043336 1117860 1304170 1490480 1565004 1956255 2086672 2235720 2608340 3130008 3912510 4471440 5216680 6260016 7825020 10433360 15650040 31300080