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1090540560 = 243514713089
BaseRepresentation
bin100000100000000…
…0101010000010000
32211000001012102010
41001000011100100
54213134244220
6300114022520
736011304354
oct10100052020
92730035363
101090540560
1150a64429a
12265277a40
13144c1b195
14a4b99464
1565b181e0
hex41005410

1090540560 has 80 divisors (see below), whose sum is σ = 3384069120. Its totient is φ = 290519040.

The previous prime is 1090540523. The next prime is 1090540589. The reversal of 1090540560 is 650450901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10905405602 = 2378557426010227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351496 + ... + 354584.

It is an arithmetic number, because the mean of its divisors is an integer number (42300864).

Almost surely, 21090540560 is an apocalyptic number.

1090540560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090540560 is an abundant number, since it is smaller than the sum of its proper divisors (2293528560).

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

1090540560 is a wasteful number, since it uses less digits than its factorization.

1090540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1090540560 is about 33023.3335688570. Note that the first 3 decimals coincide. The cubic root of 1090540560 is about 1029.3125648325.

The spelling of 1090540560 in words is "one billion, ninety million, five hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1471 2942 3089 4413 5884 6178 7355 8826 9267 11768 12356 14710 15445 17652 18534 22065 23536 24712 29420 30890 35304 37068 44130 46335 49424 58840 61780 70608 74136 88260 92670 117680 123560 148272 176520 185340 247120 353040 370680 741360 4543919 9087838 13631757 18175676 22719595 27263514 36351352 45439190 54527028 68158785 72702704 90878380 109054056 136317570 181756760 218108112 272635140 363513520 545270280 1090540560