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1116055600 = 245211223059
BaseRepresentation
bin100001010000101…
…1010100000110000
32212210001111110121
41002201122200300
54241202234400
6302424540024
736441213262
oct10241324060
92783044417
101116055600
11522a91100
12271921614
1314a2b293a
14a831bb32
1567ea821a
hex4285a830

1116055600 has 90 divisors (see below), whose sum is σ = 2947367780. Its totient is φ = 405820800.

The previous prime is 1116055571. The next prime is 1116055601. The reversal of 1116055600 is 65506111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1116055601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36871 + ... + 59929.

Almost surely, 21116055600 is an apocalyptic number.

1116055600 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 1116055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473683890).

1116055600 is an abundant number, since it is smaller than the sum of its proper divisors (1831312180).

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

1116055600 is a wasteful number, since it uses less digits than its factorization.

1116055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23099 (or 23077 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1116055600 is about 33407.4183378483. The cubic root of 1116055600 is about 1037.2782629630.

The spelling of 1116055600 in words is "one billion, one hundred sixteen million, fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 23059 24200 46118 48400 92236 115295 184472 230590 253649 368944 461180 507298 576475 922360 1014596 1152950 1268245 1844720 2029192 2305900 2536490 2790139 4058384 4611800 5072980 5580278 6341225 9223600 10145960 11160556 12682450 13950695 20291920 22321112 25364900 27901390 44642224 50729800 55802780 69753475 101459600 111605560 139506950 223211120 279013900 558027800 1116055600