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1045161440 = 25543732081
BaseRepresentation
bin111110010010111…
…110010111100000
32200211122200221222
4332102332113200
54120030131230
6251413234212
734620503621
oct7622762740
92624580858
101045161440
11496a6a294
12252032968
131386c012b
149cb45a48
1561b526e5
hex3e4be5e0

1045161440 has 96 divisors (see below), whose sum is σ = 2562458976. Its totient is φ = 402554880.

The previous prime is 1045161413. The next prime is 1045161457. The reversal of 1045161440 is 441615401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 501200 + ... + 503280.

It is an arithmetic number, because the mean of its divisors is an integer number (26692281).

Almost surely, 21045161440 is an apocalyptic number.

1045161440 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 1045161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281229488).

1045161440 is an abundant number, since it is smaller than the sum of its proper divisors (1517297536).

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

1045161440 is a wasteful number, since it uses less digits than its factorization.

1045161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1045161440 is about 32328.9566797322. The cubic root of 1045161440 is about 1014.8327160875.

Adding to 1045161440 its reverse (441615401), we get a palindrome (1486776841).

The spelling of 1045161440 in words is "one billion, forty-five million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 73 80 86 146 160 172 215 292 344 365 430 584 688 730 860 1168 1376 1460 1720 2081 2336 2920 3139 3440 4162 5840 6278 6880 8324 10405 11680 12556 15695 16648 20810 25112 31390 33296 41620 50224 62780 66592 83240 89483 100448 125560 151913 166480 178966 251120 303826 332960 357932 447415 502240 607652 715864 759565 894830 1215304 1431728 1519130 1789660 2430608 2863456 3038260 3579320 4861216 6076520 6532259 7158640 12153040 13064518 14317280 24306080 26129036 32661295 52258072 65322590 104516144 130645180 209032288 261290360 522580720 1045161440