Search a number
-
+
1020406860 = 2232511515357
BaseRepresentation
bin111100110100100…
…010110001001100
32122010002001001200
4330310202301030
54042211004420
6245130505500
734200213054
oct7464426114
92563061050
101020406860
11483aa1860
12245895290
13133533855
1499740564
155e8b2b90
hex3cd22c4c

1020406860 has 72 divisors (see below), whose sum is σ = 3376625616. Its totient is φ = 247370880.

The previous prime is 1020406853. The next prime is 1020406873. The reversal of 1020406860 is 686040201.

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, 255699 + ... + 259658.

It is an arithmetic number, because the mean of its divisors is an integer number (46897578).

Almost surely, 21020406860 is an apocalyptic number.

1020406860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020406860 is an abundant number, since it is smaller than the sum of its proper divisors (2356218756).

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

1020406860 is a wasteful number, since it uses less digits than its factorization.

1020406860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515383 (or 515378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1020406860 is about 31943.8078506618. The cubic root of 1020406860 is about 1006.7565331134.

It can be divided in two parts, 102040 and 6860, that added together give a square (108900 = 3302).

The spelling of 1020406860 in words is "one billion, twenty million, four hundred six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 515357 1030714 1546071 2061428 2576785 3092142 4638213 5153570 5668927 6184284 7730355 9276426 10307140 11337854 15460710 17006781 18552852 22675708 23191065 28344635 30921420 34013562 46382130 51020343 56689270 68027124 85033905 92764260 102040686 113378540 170067810 204081372 255101715 340135620 510203430 1020406860