Search a number
-
+
3021000 = 233531953
BaseRepresentation
bin1011100001100011001000
312200111000220
423201203020
51233133000
6144430040
734451403
oct13414310
95614026
103021000
1117837a4
121018320
1381a098
14588d3a
153ea1a0
hex2e18c8

3021000 has 128 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 748800.

The previous prime is 3020999. The next prime is 3021001. The reversal of 3021000 is 1203.

It is an interprime number because it is at equal distance from previous prime (3020999) and next prime (3021001).

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 self number, because there is not a number n which added to its sum of digits gives 3021000.

It is not an unprimeable number, because it can be changed into a prime (3021001) 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, 56974 + ... + 57026.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

Almost surely, 23021000 is an apocalyptic number.

3021000 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 3021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054400).

3021000 is an abundant number, since it is smaller than the sum of its proper divisors (7087800).

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

3021000 is a wasteful number, since it uses less digits than its factorization.

3021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

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

The square root of 3021000 is about 1738.1024135534. The cubic root of 3021000 is about 144.5606997452.

Adding to 3021000 its reverse (1203), we get a palindrome (3022203).

The spelling of 3021000 in words is "three million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 53 57 60 75 76 95 100 106 114 120 125 150 152 159 190 200 212 228 250 265 285 300 318 375 380 424 456 475 500 530 570 600 636 750 760 795 950 1000 1007 1060 1140 1272 1325 1425 1500 1590 1900 2014 2120 2280 2375 2650 2850 3000 3021 3180 3800 3975 4028 4750 5035 5300 5700 6042 6360 6625 7125 7950 8056 9500 10070 10600 11400 12084 13250 14250 15105 15900 19000 19875 20140 24168 25175 26500 28500 30210 31800 39750 40280 50350 53000 57000 60420 75525 79500 100700 120840 125875 151050 159000 201400 251750 302100 377625 503500 604200 755250 1007000 1510500 3021000