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1020413415 = 35716359621
BaseRepresentation
bin111100110100100…
…100010111100111
32122010002101001110
4330310210113213
54042211212130
6245131000103
734200241140
oct7464442747
92563071043
101020413415
11483aa677a
12245899033
13133536828
1499742ac7
155e8b4ab0
hex3cd245e7

1020413415 has 32 divisors (see below), whose sum is σ = 1877377536. Its totient is φ = 463605120.

The previous prime is 1020413413. The next prime is 1020413441. The reversal of 1020413415 is 5143140201.

It is not a de Polignac number, because 1020413415 - 21 = 1020413413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020413391 and 1020413400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020413413) by changing a digit.

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, 12696 + ... + 46925.

It is an arithmetic number, because the mean of its divisors is an integer number (58668048).

Almost surely, 21020413415 is an apocalyptic number.

1020413415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020413415 is a deficient number, since it is larger than the sum of its proper divisors (856964121).

1020413415 is a wasteful number, since it uses less digits than its factorization.

1020413415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59799.

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

The square root of 1020413415 is about 31943.9104525417. The cubic root of 1020413415 is about 1006.7586888793.

Adding to 1020413415 its reverse (5143140201), we get a palindrome (6163553616).

The spelling of 1020413415 in words is "one billion, twenty million, four hundred thirteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 163 489 815 1141 2445 3423 5705 17115 59621 178863 298105 417347 894315 1252041 2086735 6260205 9718223 29154669 48591115 68027561 145773345 204082683 340137805 1020413415