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1041345120 = 25352169469
BaseRepresentation
bin111110000100011…
…010101001100000
32200120110210221210
4332010122221200
54113041020440
6251155350120
734543200414
oct7604325140
92616423853
101041345120
114948a3002
122508b2340
1313798505a
149c430d44
156164ba80
hex3e11aa60

1041345120 has 48 divisors (see below), whose sum is σ = 3280238640. Its totient is φ = 277691904.

The previous prime is 1041345089. The next prime is 1041345121. The reversal of 1041345120 is 215431401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041345121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084255 + ... + 1085214.

It is an arithmetic number, because the mean of its divisors is an integer number (68338305).

Almost surely, 21041345120 is an apocalyptic number.

1041345120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041345120 is an abundant number, since it is smaller than the sum of its proper divisors (2238893520).

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

1041345120 is a wasteful number, since it uses less digits than its factorization.

1041345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169487 (or 2169479 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1041345120 is about 32269.8794543766. The cubic root of 1041345120 is about 1013.5960172332.

Adding to 1041345120 its reverse (215431401), we get a palindrome (1256776521).

The spelling of 1041345120 in words is "one billion, forty-one million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2169469 4338938 6508407 8677876 10847345 13016814 17355752 21694690 26033628 32542035 34711504 43389380 52067256 65084070 69423008 86778760 104134512 130168140 173557520 208269024 260336280 347115040 520672560 1041345120