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1107416128 = 26713190147
BaseRepresentation
bin100001000000001…
…1101010001000000
32212011210120100011
41002000131101000
54231444304003
6301515434304
736304611310
oct10200352100
92764716304
101107416128
11519120145
1226aa55994
13148579420
14a710d440
156734d46d
hex4201d440

1107416128 has 56 divisors (see below), whose sum is σ = 2704665152. Its totient is φ = 438096384.

The previous prime is 1107416099. The next prime is 1107416161. The reversal of 1107416128 is 8216147011.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1107416128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89250 + ... + 100897.

It is an arithmetic number, because the mean of its divisors is an integer number (48297592).

Almost surely, 21107416128 is an apocalyptic number.

It is an amenable number.

1107416128 is an abundant number, since it is smaller than the sum of its proper divisors (1597249024).

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

1107416128 is a wasteful number, since it uses less digits than its factorization.

1107416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190179 (or 190169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 1107416128 is about 33277.8624313522. The cubic root of 1107416128 is about 1034.5947764496.

The spelling of 1107416128 in words is "one billion, one hundred seven million, four hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 190147 380294 760588 1331029 1521176 2471911 2662058 3042352 4943822 5324116 6084704 9887644 10648232 12169408 17303377 19775288 21296464 34606754 39550576 42592928 69213508 79101152 85185856 138427016 158202304 276854032 553708064 1107416128