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1369888100 = 2252722631063
BaseRepresentation
bin101000110100110…
…1101010101100100
310112110200112012022
41101221231111210
510301142404400
6343533242312
745642566600
oct12151552544
93473615168
101369888100
116432a2229
12322933398
1318aa67899
14cdd14500
15803e7b85
hex51a6d564

1369888100 has 108 divisors (see below), whose sum is σ = 3474402624. Its totient is φ = 467449920.

The previous prime is 1369888061. The next prime is 1369888123. The reversal of 1369888100 is 18889631.

It is a happy number.

It is a super-2 number, since 2×13698881002 = 3753186813043220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1288169 + ... + 1289231.

Almost surely, 21369888100 is an apocalyptic number.

1369888100 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 1369888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737201312).

1369888100 is an abundant number, since it is smaller than the sum of its proper divisors (2104514524).

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

1369888100 is a wasteful number, since it uses less digits than its factorization.

1369888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 1369888100 is about 37011.9994055982. Note that the first 3 decimals coincide. The cubic root of 1369888100 is about 1110.6103020459.

Adding to 1369888100 its sum of digits (44), we get a square (1369888144 = 370122).

The spelling of 1369888100 in words is "one billion, three hundred sixty-nine million, eight hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 263 350 490 526 700 980 1052 1063 1225 1315 1841 2126 2450 2630 3682 4252 4900 5260 5315 6575 7364 7441 9205 10630 12887 13150 14882 18410 21260 25774 26300 26575 29764 36820 37205 46025 51548 52087 53150 64435 74410 92050 104174 106300 128870 148820 184100 186025 208348 257740 260435 279569 322175 372050 520870 559138 644350 744100 1041740 1118276 1288700 1302175 1397845 1956983 2604350 2795690 3913966 5208700 5591380 6989225 7827932 9784915 13698881 13978450 19569830 27397762 27956900 39139660 48924575 54795524 68494405 97849150 136988810 195698300 273977620 342472025 684944050 1369888100