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31616130 = 23571337313
BaseRepresentation
bin111100010011…
…0110010000010
32012111021011210
41320212302002
531043204010
63045350550
7532506210
oct170466202
965437153
1031616130
1116934737
12a708456
13671c790
1442adcb0
152b97b20
hex1e26c82

31616130 has 128 divisors (see below), whose sum is σ = 96219648. Its totient is φ = 6469632.

The previous prime is 31616129. The next prime is 31616149. The reversal of 31616130 is 3161613.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31616097 and 31616106.

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 63 ways as a sum of consecutive naturals, for example, 100854 + ... + 101166.

It is an arithmetic number, because the mean of its divisors is an integer number (751716).

Almost surely, 231616130 is an apocalyptic number.

31616130 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 31616130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48109824).

31616130 is an abundant number, since it is smaller than the sum of its proper divisors (64603518).

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

31616130 is a wasteful number, since it uses less digits than its factorization.

31616130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 31616130 is about 5622.8222451008. The cubic root of 31616130 is about 316.2056091255.

Adding to 31616130 its reverse (3161613), we get a palindrome (34777743).

The spelling of 31616130 in words is "thirty-one million, six hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 313 370 390 455 481 518 546 555 626 777 910 939 962 1110 1295 1365 1443 1554 1565 1878 2191 2405 2590 2730 2886 3130 3367 3885 4069 4382 4695 4810 6573 6734 7215 7770 8138 9390 10101 10955 11581 12207 13146 14430 16835 20202 20345 21910 23162 24414 28483 32865 33670 34743 40690 50505 56966 57905 61035 65730 69486 81067 85449 101010 115810 122070 142415 150553 162134 170898 173715 243201 284830 301106 347430 405335 427245 451659 486402 752765 810670 854490 903318 1053871 1216005 1505530 2107742 2258295 2432010 3161613 4516590 5269355 6323226 10538710 15808065 31616130