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1022741104 = 247111316337
BaseRepresentation
bin111100111101011…
…100101001110000
32122021110122001011
4330331130221300
54043310203404
6245252520304
734226104330
oct7475345160
92567418034
101022741104
11485346590
12246620094
13133b70168
1499b8b0c0
155ebc4604
hex3cf5ca70

1022741104 has 80 divisors (see below), whose sum is σ = 2489769216. Its totient is φ = 395366400.

The previous prime is 1022741081. The next prime is 1022741113. The reversal of 1022741104 is 4011472201.

It is a super-2 number, since 2×10227411042 = 2091998731622277632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158224 + ... + 164560.

Almost surely, 21022741104 is an apocalyptic number.

1022741104 is a gapful number since it is divisible by the number (14) 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 1022741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244884608).

1022741104 is an abundant number, since it is smaller than the sum of its proper divisors (1467028112).

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

1022741104 is a wasteful number, since it uses less digits than its factorization.

1022741104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1022741104 is about 31980.3237006757. The cubic root of 1022741104 is about 1007.5236211667.

The spelling of 1022741104 in words is "one billion, twenty-two million, seven hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 131 154 176 262 308 524 616 917 1048 1232 1441 1834 2096 2882 3668 5764 6337 7336 10087 11528 12674 14672 20174 23056 25348 40348 44359 50696 69707 80696 88718 101392 139414 161392 177436 278828 354872 487949 557656 709744 830147 975898 1115312 1660294 1951796 3320588 3903592 5811029 6641176 7807184 9131617 11622058 13282352 18263234 23244116 36526468 46488232 63921319 73052936 92976464 127842638 146105872 255685276 511370552 1022741104