Search a number
-
+
1077907992 = 233715740867
BaseRepresentation
bin100000000111111…
…1001001000011000
32210010021101210020
41000033321020120
54201421023432
6254543150440
735466031620
oct10017711030
92703241706
101077907992
115034a6257
12260ba5420
131424172a5
14a322b880
156497022c
hex403f9218

1077907992 has 64 divisors (see below), whose sum is σ = 3099429120. Its totient is φ = 306004608.

The previous prime is 1077907991. The next prime is 1077907997. The reversal of 1077907992 is 2997097701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077907991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5943 + ... + 46809.

It is an arithmetic number, because the mean of its divisors is an integer number (48428580).

Almost surely, 21077907992 is an apocalyptic number.

1077907992 is a gapful number since it is divisible by the number (12) 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 1077907992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549714560).

1077907992 is an abundant number, since it is smaller than the sum of its proper divisors (2021521128).

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

1077907992 is a wasteful number, since it uses less digits than its factorization.

1077907992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41040 (or 41036 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 51.

The square root of 1077907992 is about 32831.5091337575. The cubic root of 1077907992 is about 1025.3226799255.

The spelling of 1077907992 in words is "one billion, seventy-seven million, nine hundred seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 6594 8792 13188 26376 40867 81734 122601 163468 245202 286069 326936 490404 572138 858207 980808 1144276 1716414 2288552 3432828 6416119 6865656 12832238 19248357 25664476 38496714 44912833 51328952 76993428 89825666 134738499 153986856 179651332 269476998 359302664 538953996 1077907992