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1090590048 = 25331996343
BaseRepresentation
bin100000100000001…
…0001010101100000
32211000010201022000
41001000101111200
54213142340143
6300115044000
736011601552
oct10100212540
92730121260
101090590048
1150a678499
122652a0600
13144c37872
14a4bad4d2
1565b27bd3
hex41011560

1090590048 has 96 divisors (see below), whose sum is σ = 3197376000. Its totient is φ = 361646208.

The previous prime is 1090590029. The next prime is 1090590049. The reversal of 1090590048 is 8400950901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1090589994 and 1090590021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090590049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168765 + ... + 175107.

It is an arithmetic number, because the mean of its divisors is an integer number (33306000).

Almost surely, 21090590048 is an apocalyptic number.

1090590048 is a gapful number since it is divisible by the number (18) 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 1090590048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598688000).

1090590048 is an abundant number, since it is smaller than the sum of its proper divisors (2106785952).

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

1090590048 is a wasteful number, since it uses less digits than its factorization.

1090590048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1090590048 is about 33024.0828487333. The cubic root of 1090590048 is about 1029.3281344352.

The spelling of 1090590048 in words is "one billion, ninety million, five hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 796 864 1194 1592 1791 2388 3184 3582 4776 5373 6343 6368 7164 9552 10746 12686 14328 19029 19104 21492 25372 28656 38058 42984 50744 57087 57312 76116 85968 101488 114174 152232 171261 171936 202976 228348 304464 342522 456696 608928 685044 913392 1262257 1370088 1826784 2524514 2740176 3786771 5049028 5480352 7573542 10098056 11360313 15147084 20196112 22720626 30294168 34080939 40392224 45441252 60588336 68161878 90882504 121176672 136323756 181765008 272647512 363530016 545295024 1090590048