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1092280056 = 2337171920129
BaseRepresentation
bin100000100011010…
…1101111011111000
32211010022120112220
41001012231323320
54214110430211
6300215204040
736032140650
oct10106557370
92733276486
101092280056
1151062219a
12265976620
131453a9b7a
14a50cd360
1565d5d806
hex411adef8

1092280056 has 128 divisors (see below), whose sum is σ = 3478464000. Its totient is φ = 278249472.

The previous prime is 1092280027. The next prime is 1092280081. The reversal of 1092280056 is 6500822901.

1092280056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1092279999 and 1092280026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44200 + ... + 64328.

It is an arithmetic number, because the mean of its divisors is an integer number (27175500).

Almost surely, 21092280056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1092280056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739232000).

1092280056 is an abundant number, since it is smaller than the sum of its proper divisors (2386183944).

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

1092280056 is a wasteful number, since it uses less digits than its factorization.

1092280056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20181 (or 20177 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1092280056 is about 33049.6604521136. The cubic root of 1092280056 is about 1029.8595516543.

The spelling of 1092280056 in words is "one billion, ninety-two million, two hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 20129 27132 40258 54264 60387 80516 120774 140903 161032 241548 281806 342193 382451 422709 483096 563612 684386 764902 845418 1026579 1127224 1147353 1368772 1529804 1690836 2053158 2294706 2395351 2677157 2737544 3059608 3381672 4106316 4589412 4790702 5354314 6501667 7186053 8031471 8212632 9178824 9581404 10708628 13003334 14372106 16062942 19162808 19505001 21417256 26006668 28744212 32125884 39010002 45511669 52013336 57488424 64251768 78020004 91023338 136535007 156040008 182046676 273070014 364093352 546140028 1092280056