Search a number
-
+
31057020 = 22345191009
BaseRepresentation
bin111011001111…
…0010001111100
32011102212020000
41312132101330
530422311040
63025354300
7524660151
oct166362174
964385200
1031057020
1116592665
12a498990
136585147
1441a6228
152ad7130
hex1d9e47c

31057020 has 120 divisors (see below), whose sum is σ = 102656400. Its totient is φ = 7838208.

The previous prime is 31057007. The next prime is 31057031. The reversal of 31057020 is 2075013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31056984 and 31057002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30276 + ... + 31284.

It is an arithmetic number, because the mean of its divisors is an integer number (855470).

Almost surely, 231057020 is an apocalyptic number.

31057020 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 31057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51328200).

31057020 is an abundant number, since it is smaller than the sum of its proper divisors (71599380).

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

31057020 is a wasteful number, since it uses less digits than its factorization.

31057020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 31057020 is about 5572.8825575280. The cubic root of 31057020 is about 314.3305510609.

The spelling of 31057020 in words is "thirty-one million, fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1009 1026 1140 1539 1620 1710 2018 2052 2565 3027 3078 3420 4036 5045 5130 6054 6156 7695 9081 10090 10260 12108 15135 15390 18162 19171 20180 27243 30270 30780 36324 38342 45405 54486 57513 60540 76684 81729 90810 95855 108972 115026 136215 163458 172539 181620 191710 230052 272430 287565 326916 345078 383420 408645 517617 544860 575130 690156 817290 862695 1035234 1150260 1552851 1634580 1725390 2070468 2588085 3105702 3450780 5176170 6211404 7764255 10352340 15528510 31057020