Search a number
-
+
1020402200 = 235231164581
BaseRepresentation
bin111100110100100…
…001101000011000
32122010001210200002
4330310201220120
54042210332300
6245130432132
734200163346
oct7464415030
92563053602
101020402200
11483a99304
12245892648
131335316ac
149973c996
155e8b15d5
hex3cd21a18

1020402200 has 48 divisors (see below), whose sum is σ = 2448980160. Its totient is φ = 394992000.

The previous prime is 1020402193. The next prime is 1020402211. The reversal of 1020402200 is 22040201.

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 11 ways as a sum of consecutive naturals, for example, 76091 + ... + 88490.

It is an arithmetic number, because the mean of its divisors is an integer number (51020420).

Almost surely, 21020402200 is an apocalyptic number.

1020402200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020402200 is an abundant number, since it is smaller than the sum of its proper divisors (1428577960).

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

1020402200 is a wasteful number, since it uses less digits than its factorization.

1020402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164628 (or 164619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1020402200 is about 31943.7349099945. The cubic root of 1020402200 is about 1006.7550005572.

Adding to 1020402200 its reverse (22040201), we get a palindrome (1042442401).

The spelling of 1020402200 in words is "one billion, twenty million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 164581 329162 658324 822905 1316648 1645810 3291620 4114525 5102011 6583240 8229050 10204022 16458100 20408044 25510055 32916200 40816088 51020110 102040220 127550275 204080440 255100550 510201100 1020402200