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1090800700 = 2252113726801
BaseRepresentation
bin100000100000100…
…0100110000111100
32211000112102020221
41001001010300330
54213221110300
6300123351124
736013436653
oct10101046074
92730472227
101090800700
1150a801790
122653824a4
13144cac702
14a4c2619a
1565b6a31a
hex41044c3c

1090800700 has 72 divisors (see below), whose sum is σ = 2652111504. Its totient is φ = 385920000.

The previous prime is 1090800661. The next prime is 1090800721. The reversal of 1090800700 is 70080901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27300 + ... + 54100.

It is an arithmetic number, because the mean of its divisors is an integer number (36834882).

Almost surely, 21090800700 is an apocalyptic number.

1090800700 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 1090800700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326055752).

1090800700 is an abundant number, since it is smaller than the sum of its proper divisors (1561310804).

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

1090800700 is a wasteful number, since it uses less digits than its factorization.

1090800700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26863 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 1090800700 is about 33027.2720641593. The cubic root of 1090800700 is about 1029.3944031710.

The spelling of 1090800700 in words is "one billion, ninety million, eight hundred thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 26801 40700 53602 107204 134005 268010 294811 536020 589622 670025 991637 1179244 1340050 1474055 1983274 2680100 2948110 3966548 4958185 5896220 7370275 9916370 10908007 14740550 19832740 21816014 24790925 29481100 43632028 49581850 54540035 99163700 109080070 218160140 272700175 545400350 1090800700