Search a number
-
+
3065100 = 2235217601
BaseRepresentation
bin1011101100010100001100
312202201112020
423230110030
51241040400
6145410140
735024103
oct13542414
95681466
103065100
111803945
121039950
1383418c
1459b03a
154082a0
hex2ec50c

3065100 has 72 divisors (see below), whose sum is σ = 9405648. Its totient is φ = 768000.

The previous prime is 3065081. The next prime is 3065131. The reversal of 3065100 is 15603.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3065100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4800 + ... + 5400.

It is an arithmetic number, because the mean of its divisors is an integer number (130634).

Almost surely, 23065100 is an apocalyptic number.

3065100 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 3065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702824).

3065100 is an abundant number, since it is smaller than the sum of its proper divisors (6340548).

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

3065100 is a wasteful number, since it uses less digits than its factorization.

3065100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3065100 is about 1750.7426995421. The cubic root of 3065100 is about 145.2607278858.

The spelling of 3065100 in words is "three million, sixty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 601 850 1020 1202 1275 1700 1803 2404 2550 3005 3606 5100 6010 7212 9015 10217 12020 15025 18030 20434 30050 30651 36060 40868 45075 51085 60100 61302 90150 102170 122604 153255 180300 204340 255425 306510 510850 613020 766275 1021700 1532550 3065100