Search a number
-
+
31488030 = 23257151331
BaseRepresentation
bin111100000011…
…1100000011110
32012020202110100
41320013200132
531030104110
63042521530
7531433560
oct170074036
965222410
1031488030
1116857472
12a6662a6
1366a6392
144279330
152b6ebc0
hex1e0781e

31488030 has 96 divisors (see below), whose sum is σ = 94468608. Its totient is φ = 7128000.

The previous prime is 31488019. The next prime is 31488031. The reversal of 31488030 is 3088413.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31487985 and 31488003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31488031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94965 + ... + 95295.

It is an arithmetic number, because the mean of its divisors is an integer number (984048).

Almost surely, 231488030 is an apocalyptic number.

31488030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31488030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47234304).

31488030 is an abundant number, since it is smaller than the sum of its proper divisors (62980578).

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

31488030 is a wasteful number, since it uses less digits than its factorization.

31488030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

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

The square root of 31488030 is about 5611.4196064811. The cubic root of 31488030 is about 315.7779712038. Note that the first 3 decimals are identical.

The spelling of 31488030 in words is "thirty-one million, four hundred eighty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 302 315 331 453 630 662 755 906 993 1057 1359 1510 1655 1986 2114 2265 2317 2718 2979 3171 3310 4530 4634 4965 5285 5958 6342 6795 6951 9513 9930 10570 11585 13590 13902 14895 15855 19026 20853 23170 29790 31710 34755 41706 47565 49981 69510 95130 99962 104265 149943 208530 249905 299886 349867 449829 499810 699734 749715 899658 1049601 1499430 1749335 2099202 2249145 3148803 3498670 4498290 5248005 6297606 10496010 15744015 31488030