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1078672140 = 22375713271
BaseRepresentation
bin100000001001011…
…0011101100001100
32210011201020000000
41000102303230030
54202120002030
6255011404300
735505363510
oct10022635414
92704636000
101078672140
11503978387
122612b3690
13142624050
14a338a140
1564a71860
hex404b3b0c

1078672140 has 384 divisors, whose sum is σ = 4196720640. Its totient is φ = 226748160.

The previous prime is 1078672069. The next prime is 1078672141. The reversal of 1078672140 is 412768701.

It is a super-2 number, since 2×10786721402 = 2327067171224359200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1078672095 and 1078672104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078672141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3980205 + ... + 3980475.

It is an arithmetic number, because the mean of its divisors is an integer number (10928960).

Almost surely, 21078672140 is an apocalyptic number.

1078672140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098360320).

1078672140 is an abundant number, since it is smaller than the sum of its proper divisors (3118048500).

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

1078672140 is a wasteful number, since it uses less digits than its factorization.

1078672140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1078672140 is about 32843.1444901368. The cubic root of 1078672140 is about 1025.5649124749.

The spelling of 1078672140 in words is "one billion, seventy-eight million, six hundred seventy-two thousand, one hundred forty".