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1045232020 = 225789149563
BaseRepresentation
bin111110010011001…
…111100110010100
32200211210021210001
4332103033212110
54120034411040
6251414541044
734621216450
oct7623174624
92624707701
101045232020
11497008318
12252067784
131387162b1
149cb63660
1561b6859a
hex3e4cf994

1045232020 has 96 divisors (see below), whose sum is σ = 2558304000. Its totient is φ = 351335424.

The previous prime is 1045231963. The next prime is 1045232051. The reversal of 1045232020 is 202325401.

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 31 ways as a sum of consecutive naturals, for example, 1856259 + ... + 1856821.

It is an arithmetic number, because the mean of its divisors is an integer number (26649000).

Almost surely, 21045232020 is an apocalyptic number.

1045232020 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 1045232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279152000).

1045232020 is an abundant number, since it is smaller than the sum of its proper divisors (1513071980).

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

1045232020 is a wasteful number, since it uses less digits than its factorization.

1045232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1045232020 is about 32330.0482523611. The cubic root of 1045232020 is about 1014.8555595380.

Adding to 1045232020 its reverse (202325401), we get a palindrome (1247557421).

The spelling of 1045232020 in words is "one billion, forty-five million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 149 178 298 356 445 563 596 623 745 890 1043 1126 1246 1490 1780 2086 2252 2492 2815 2980 3115 3941 4172 5215 5630 6230 7882 10430 11260 12460 13261 15764 19705 20860 26522 39410 50107 53044 66305 78820 83887 92827 100214 132610 167774 185654 200428 250535 265220 335548 350749 371308 419435 464135 501070 587209 701498 838870 928270 1002140 1174418 1402996 1677740 1753745 1856540 2348836 2936045 3507490 5872090 7014980 7465943 11744180 14931886 29863772 37329715 52261601 74659430 104523202 149318860 209046404 261308005 522616010 1045232020