Search a number
-
+
1077169020 = 223573832963
BaseRepresentation
bin100000000110100…
…0100101101111100
32210001212212002220
41000031010231330
54201223402040
6254515245340
735456533314
oct10015045574
92701785086
101077169020
11503041034
122608a9850
13142218b25
14a30b8444
15648762d0
hex40344b7c

1077169020 has 96 divisors (see below), whose sum is σ = 3095269632. Its totient is φ = 279802368.

The previous prime is 1077169013. The next prime is 1077169031. The reversal of 1077169020 is 209617701.

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 31 ways as a sum of consecutive naturals, for example, 362059 + ... + 365021.

It is an arithmetic number, because the mean of its divisors is an integer number (32242392).

Almost surely, 21077169020 is an apocalyptic number.

1077169020 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 1077169020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547634816).

1077169020 is an abundant number, since it is smaller than the sum of its proper divisors (2018100612).

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

1077169020 is a wasteful number, since it uses less digits than its factorization.

1077169020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 1077169020 is about 32820.2531982921. The cubic root of 1077169020 is about 1025.0883191794.

The spelling of 1077169020 in words is "one billion, seventy-seven million, one hundred sixty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 83 146 166 219 249 292 332 365 415 438 498 730 830 876 996 1095 1245 1460 1660 2190 2490 2963 4380 4980 5926 6059 8889 11852 12118 14815 17778 18177 24236 29630 30295 35556 36354 44445 59260 60590 72708 88890 90885 121180 177780 181770 216299 245929 363540 432598 491858 648897 737787 865196 983716 1081495 1229645 1297794 1475574 2162990 2459290 2595588 2951148 3244485 3688935 4325980 4918580 6488970 7377870 12977940 14755740 17952817 35905634 53858451 71811268 89764085 107716902 179528170 215433804 269292255 359056340 538584510 1077169020