[go: up one dir, main page]

Search a number
-
+
1369968288 = 253137115461
BaseRepresentation
bin101000110101000…
…0000111010100000
310112110211121012020
41101222000322200
510301202441123
6343535101440
745643352433
oct12152007240
93473747166
101369968288
116433474a7
12322971880
1318aa95230
14cdd3581a
15804117e3
hex51a80ea0

1369968288 has 96 divisors (see below), whose sum is σ = 3927595392. Its totient is φ = 415564800.

The previous prime is 1369968277. The next prime is 1369968329. The reversal of 1369968288 is 8828699631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13699682883 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80878 + ... + 96338.

It is an arithmetic number, because the mean of its divisors is an integer number (40912452).

Almost surely, 21369968288 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 1369968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963797696).

1369968288 is an abundant number, since it is smaller than the sum of its proper divisors (2557627104).

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

1369968288 is a wasteful number, since it uses less digits than its factorization.

1369968288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15558 (or 15550 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The square root of 1369968288 is about 37013.0826600541. The cubic root of 1369968288 is about 1110.6319719135.

The spelling of 1369968288 in words is "one billion, three hundred sixty-nine million, nine hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2272 2769 3408 3692 5538 6816 7384 11076 14768 15461 22152 29536 30922 44304 46383 61844 88608 92766 123688 185532 200993 247376 371064 401986 494752 602979 742128 803972 1097731 1205958 1484256 1607944 2195462 2411916 3215888 3293193 4390924 4823832 6431776 6586386 8781848 9647664 13172772 14270503 17563696 19295328 26345544 28541006 35127392 42811509 52691088 57082012 85623018 105382176 114164024 171246036 228328048 342492072 456656096 684984144 1369968288