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1127416030 = 251317618363
BaseRepresentation
bin100001100110011…
…0000000011011110
32220120102200001021
41003030300003132
54302104303110
6303512234354
736636610126
oct10314600336
92816380037
101127416030
11529440394
1227569b9ba
1314c75c7a0
14a9a37c86
1568e9e2da
hex433300de

1127416030 has 64 divisors (see below), whose sum is σ = 2352224448. Its totient is φ = 385320960.

The previous prime is 1127416019. The next prime is 1127416057. The reversal of 1127416030 is 306147211.

It is a junction number, because it is equal to n+sod(n) for n = 1127415986 and 1127416004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 130629 + ... + 138991.

It is an arithmetic number, because the mean of its divisors is an integer number (36753507).

Almost surely, 21127416030 is an apocalyptic number.

1127416030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1127416030 is an abundant number, since it is smaller than the sum of its proper divisors (1224808418).

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

1127416030 is a wasteful number, since it uses less digits than its factorization.

1127416030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1127416030 is about 33577.0163951474. The cubic root of 1127416030 is about 1040.7859043578.

The spelling of 1127416030 in words is "one billion, one hundred twenty-seven million, four hundred sixteen thousand, thirty".

Divisors: 1 2 5 10 13 17 26 34 61 65 85 122 130 170 221 305 442 610 793 1037 1105 1586 2074 2210 3965 5185 7930 8363 10370 13481 16726 26962 41815 67405 83630 108719 134810 142171 217438 284342 510143 543595 710855 1020286 1087190 1421710 1848223 2550715 3696446 5101430 6631859 8672431 9241115 13263718 17344862 18482230 33159295 43362155 66318590 86724310 112741603 225483206 563708015 1127416030