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1072220920 = 235192395903
BaseRepresentation
bin111111111010001…
…100101011111000
32202201120110120221
4333322030223320
54143442032140
6254221225424
735366504341
oct7772145370
92681513527
101072220920
115002714a1
1225b102274
131411a5864
14a258b0c8
15641ea14a
hex3fe8caf8

1072220920 has 64 divisors (see below), whose sum is σ = 2550528000. Its totient is φ = 404546688.

The previous prime is 1072220887. The next prime is 1072220921. The reversal of 1072220920 is 290222701.

It is a super-2 number, since 2×10722209202 = 2299315402571292800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072220921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178689 + ... + 184591.

It is an arithmetic number, because the mean of its divisors is an integer number (39852000).

Almost surely, 21072220920 is an apocalyptic number.

1072220920 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 1072220920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275264000).

1072220920 is an abundant number, since it is smaller than the sum of its proper divisors (1478307080).

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

1072220920 is a wasteful number, since it uses less digits than its factorization.

1072220920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1072220920 is about 32744.7846228983. The cubic root of 1072220920 is about 1023.5162891828.

The spelling of 1072220920 in words is "one billion, seventy-two million, two hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 239 380 478 760 956 1195 1912 2390 4541 4780 5903 9082 9560 11806 18164 22705 23612 29515 36328 45410 47224 59030 90820 112157 118060 181640 224314 236120 448628 560785 897256 1121570 1410817 2243140 2821634 4486280 5643268 7054085 11286536 14108170 26805523 28216340 53611046 56432680 107222092 134027615 214444184 268055230 536110460 1072220920