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1045103400 = 2332521152783
BaseRepresentation
bin111110010010110…
…000001100101000
32200211112202100100
4332102300030220
54120021302100
6251412105400
734620142455
oct7622601450
92624482310
101045103400
11496a2a720
12252005260
1313869c8a3
149cb2c82c
1561b40400
hex3e4b0328

1045103400 has 144 divisors (see below), whose sum is σ = 3828951360. Its totient is φ = 253353600.

The previous prime is 1045103393. The next prime is 1045103401. The reversal of 1045103400 is 43015401.

It is a happy number.

It is a super-2 number, since 2×10451034002 = 2184482233383120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1045103401) 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 35 ways as a sum of consecutive naturals, for example, 6592 + ... + 46191.

It is an arithmetic number, because the mean of its divisors is an integer number (26589940).

Almost surely, 21045103400 is an apocalyptic number.

1045103400 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 1045103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914475680).

1045103400 is an abundant number, since it is smaller than the sum of its proper divisors (2783847960).

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

1045103400 is a wasteful number, since it uses less digits than its factorization.

1045103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52816 (or 52804 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1045103400 is about 32328.0590199907. The cubic root of 1045103400 is about 1014.8139304789.

Adding to 1045103400 its reverse (43015401), we get a palindrome (1088118801).

The spelling of 1045103400 in words is "one billion, forty-five million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 52783 105566 158349 211132 263915 316698 422264 475047 527830 580613 633396 791745 950094 1055660 1161226 1266792 1319575 1583490 1741839 1900188 2111320 2322452 2375235 2639150 2903065 3166980 3483678 3800376 3958725 4644904 4750470 5225517 5278300 5806130 6333960 6967356 7917450 8709195 9500940 10451034 10556600 11612260 11876175 13934712 14515325 15834900 17418390 19001880 20902068 23224520 23752350 26127585 29030650 31669800 34836780 41804136 43545975 47504700 52255170 58061300 69673560 87091950 95009400 104510340 116122600 130637925 174183900 209020680 261275850 348367800 522551700 1045103400