Search a number
-
+
1102306680 = 233253198773
BaseRepresentation
bin100000110110011…
…1101110101111000
32211211011222111100
41001230331311320
54224142303210
6301214131400
736213311046
oct10154756570
92754158440
101102306680
11516250362
122691b0b60
131474aa897
14a657d396
1566b8e5c0
hex41b3dd78

1102306680 has 96 divisors (see below), whose sum is σ = 3698098560. Its totient is φ = 284463360.

The previous prime is 1102306663. The next prime is 1102306691. The reversal of 1102306680 is 866032011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38227 + ... + 60546.

It is an arithmetic number, because the mean of its divisors is an integer number (38521860).

Almost surely, 21102306680 is an apocalyptic number.

1102306680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102306680 is an abundant number, since it is smaller than the sum of its proper divisors (2595791880).

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

1102306680 is a wasteful number, since it uses less digits than its factorization.

1102306680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98821 (or 98814 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1102306680 is about 33201.0042016804. The cubic root of 1102306680 is about 1033.0011692232.

Adding to 1102306680 its reverse (866032011), we get a palindrome (1968338691).

The spelling of 1102306680 in words is "one billion, one hundred two million, three hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 98773 197546 296319 395092 493865 592638 790184 888957 987730 1185276 1481595 1777914 1975460 2370552 2963190 3061963 3555828 3950920 4444785 5926380 6123926 7111656 8889570 9185889 11852760 12247852 15309815 17779140 18371778 24495704 27557667 30619630 35558280 36743556 45929445 55115334 61239260 73487112 91858890 110230668 122478520 137788335 183717780 220461336 275576670 367435560 551153340 1102306680