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1104132040 = 2351153113419
BaseRepresentation
bin100000111001111…
…1011011111001000
32211221121201102021
41001303323133020
54230124211130
6301321214224
736234652564
oct10163733710
92757551367
101104132040
11517287820
12269931374
1314799968b
14a68d66a4
1566e0037a
hex41cfb7c8

1104132040 has 128 divisors (see below), whose sum is σ = 2792361600. Its totient is φ = 389509120.

The previous prime is 1104132017. The next prime is 1104132049. The reversal of 1104132040 is 402314011.

It is not an unprimeable number, because it can be changed into a prime (1104132049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2634951 + ... + 2635369.

It is an arithmetic number, because the mean of its divisors is an integer number (21815325).

Almost surely, 21104132040 is an apocalyptic number.

1104132040 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 1104132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396180800).

1104132040 is an abundant number, since it is smaller than the sum of its proper divisors (1688229560).

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

1104132040 is a wasteful number, since it uses less digits than its factorization.

1104132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1104132040 is about 33228.4823607700. The cubic root of 1104132040 is about 1033.5710527195.

Adding to 1104132040 its reverse (402314011), we get a palindrome (1506446051).

The spelling of 1104132040 in words is "one billion, one hundred four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 113 212 220 226 265 419 424 440 452 530 565 583 838 904 1060 1130 1166 1243 1676 2095 2120 2260 2332 2486 2915 3352 4190 4520 4609 4664 4972 5830 5989 6215 8380 9218 9944 11660 11978 12430 16760 18436 22207 23045 23320 23956 24860 29945 36872 44414 46090 47347 47912 49720 59890 65879 88828 92180 94694 111035 119780 131758 177656 184360 189388 222070 236735 239560 244277 263516 329395 378776 444140 473470 488554 520817 527032 658790 888280 946940 977108 1041634 1221385 1317580 1893880 1954216 2083268 2442770 2509391 2604085 2635160 4166536 4885540 5018782 5208170 9771080 10037564 10416340 12546955 20075128 20832680 25093910 27603301 50187820 55206602 100375640 110413204 138016505 220826408 276033010 552066020 1104132040