Search a number
-
+
3100020 = 2235711261
BaseRepresentation
bin1011110100110101110100
312211111102120
423310311310
51243200040
6150235540
735230650
oct13646564
95744376
103100020
111828100
121055bb0
13847041
145a9a60
154137d0
hex2f4d74

3100020 has 144 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 633600.

The previous prime is 3100007. The next prime is 3100043. The reversal of 3100020 is 200013.

3100020 = T21 + T22 + ... + T264.

It is a super-2 number, since 2×31000202 = 19220248000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 3099981 and 3100008.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50790 + ... + 50850.

Almost surely, 23100020 is an apocalyptic number.

3100020 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 3100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

3100020 is an abundant number, since it is smaller than the sum of its proper divisors (7982604).

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

3100020 is a wasteful number, since it uses less digits than its factorization.

3100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3100020 is about 1760.6873657751. The cubic root of 3100020 is about 145.8102871518.

Adding to 3100020 its reverse (200013), we get a palindrome (3300033).

The spelling of 3100020 in words is "three million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 61 66 70 77 84 105 110 121 122 132 140 154 165 183 210 220 231 242 244 305 308 330 363 366 385 420 427 462 484 605 610 660 671 726 732 770 847 854 915 924 1155 1210 1220 1281 1342 1452 1540 1694 1708 1815 1830 2013 2135 2310 2420 2541 2562 2684 3355 3388 3630 3660 4026 4235 4270 4620 4697 5082 5124 6405 6710 7260 7381 8052 8470 8540 9394 10065 10164 12705 12810 13420 14091 14762 16940 18788 20130 22143 23485 25410 25620 28182 29524 36905 40260 44286 46970 50820 51667 56364 70455 73810 88572 93940 103334 110715 140910 147620 155001 206668 221430 258335 281820 310002 442860 516670 620004 775005 1033340 1550010 3100020