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1022413020 = 2235231037193
BaseRepresentation
bin111100111100001…
…100100011011100
32122020211221222220
4330330030203130
54043214204040
6245241505340
734223236656
oct7474144334
92566757886
101022413020
11485142042
122464a2250
13133a86a25
1499b036d6
155eb5c2d0
hex3cf0c8dc

1022413020 has 96 divisors (see below), whose sum is σ = 3016645632. Its totient is φ = 258221568.

The previous prime is 1022413019. The next prime is 1022413027. The reversal of 1022413020 is 203142201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022413027) 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, 138544 + ... + 145736.

It is an arithmetic number, because the mean of its divisors is an integer number (31423392).

Almost surely, 21022413020 is an apocalyptic number.

1022413020 is a gapful number since it is divisible by the number (10) 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 1022413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508322816).

1022413020 is an abundant number, since it is smaller than the sum of its proper divisors (1994232612).

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

1022413020 is a wasteful number, since it uses less digits than its factorization.

1022413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1022413020 is about 31975.1938227120. The cubic root of 1022413020 is about 1007.4158755112.

Adding to 1022413020 its reverse (203142201), we get a palindrome (1225555221).

The spelling of 1022413020 in words is "one billion, twenty-two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 103 115 138 206 230 276 309 345 412 460 515 618 690 1030 1236 1380 1545 2060 2369 3090 4738 6180 7107 7193 9476 11845 14214 14386 21579 23690 28428 28772 35535 35965 43158 47380 71070 71930 86316 107895 142140 143860 165439 215790 330878 431580 496317 661756 740879 827195 992634 1481758 1654390 1985268 2222637 2481585 2963516 3308780 3704395 4445274 4963170 7408790 8890548 9926340 11113185 14817580 17040217 22226370 34080434 44452740 51120651 68160868 85201085 102241302 170402170 204482604 255603255 340804340 511206510 1022413020