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1035401620 = 225115979769
BaseRepresentation
bin111101101101101…
…111100110010100
32200011021212000011
4331231233212110
54110030322440
6250424130004
734441524421
oct7555574624
92604255004
101035401620
11491503620
1224a906904
131366839a6
149b724d48
1560d759ea
hex3db6f994

1035401620 has 48 divisors (see below), whose sum is σ = 2412244800. Its totient is φ = 370123520.

The previous prime is 1035401579. The next prime is 1035401623. The reversal of 1035401620 is 261045301.

It is a super-3 number, since 3×10354016203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1035401591 and 1035401600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035401623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26905 + ... + 52864.

It is an arithmetic number, because the mean of its divisors is an integer number (50255100).

Almost surely, 21035401620 is an apocalyptic number.

1035401620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035401620 is an abundant number, since it is smaller than the sum of its proper divisors (1376843180).

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

1035401620 is a wasteful number, since it uses less digits than its factorization.

1035401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79848 (or 79846 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1035401620 is about 32177.6571552374. The cubic root of 1035401620 is about 1011.6639630137.

Adding to 1035401620 its reverse (261045301), we get a palindrome (1296446921).

The spelling of 1035401620 in words is "one billion, thirty-five million, four hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 79769 159538 319076 398845 797690 877459 1595380 1754918 3509836 4387295 4706371 8774590 9412742 17549180 18825484 23531855 47063710 51770081 94127420 103540162 207080324 258850405 517700810 1035401620