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1020407115 = 357213269397
BaseRepresentation
bin111100110100100…
…010110101001011
32122010002001102010
4330310202311023
54042211011430
6245130511003
734200213600
oct7464426513
92563061363
101020407115
11483aa1a72
12245895463
131335339c0
14997406a7
155e8b2cb0
hex3cd22d4b

1020407115 has 96 divisors (see below), whose sum is σ = 2058073920. Its totient is φ = 427908096.

The previous prime is 1020407051. The next prime is 1020407159. The reversal of 1020407115 is 5117040201.

It is a happy number.

It is not a de Polignac number, because 1020407115 - 26 = 1020407051 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 = 1020407091 and 1020407100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570097 + ... + 2570493.

It is an arithmetic number, because the mean of its divisors is an integer number (21438270).

Almost surely, 21020407115 is an apocalyptic number.

1020407115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020407115 is an abundant number, since it is smaller than the sum of its proper divisors (1037666805).

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

1020407115 is a wasteful number, since it uses less digits than its factorization.

1020407115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1020407115 is about 31943.8118420454. The cubic root of 1020407115 is about 1006.7566169763.

Adding to 1020407115 its reverse (5117040201), we get a palindrome (6137447316).

The spelling of 1020407115 in words is "one billion, twenty million, four hundred seven thousand, one hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 269 273 397 455 637 735 807 1191 1345 1365 1883 1911 1985 2779 3185 3497 4035 5161 5649 5955 8337 9415 9555 10491 13181 13895 15483 17485 19453 24479 25805 28245 36127 39543 41685 52455 58359 65905 73437 77415 97265 106793 108381 122395 171353 180635 197715 252889 291795 320379 367185 514059 533965 541905 747551 758667 856765 1264445 1388309 1601895 2242653 2570295 3737755 3793335 4164927 5232857 6941545 9718163 11213265 15698571 20824635 26164285 29154489 48590815 68027141 78492855 145772445 204081423 340135705 1020407115