Search a number
-
+
979027120 = 24531596691
BaseRepresentation
bin111010010110101…
…100010010110000
32112020012201201201
4322112230102300
54001112331440
6241051540544
733155410321
oct7226542260
92466181651
10979027120
114626a9625
12233a5a754
13127aa5cb6
149404c448
155ae3c19a
hex3a5ac4b0

979027120 has 80 divisors (see below), whose sum is σ = 2389847040. Its totient is φ = 372499200.

The previous prime is 979027097. The next prime is 979027121. The reversal of 979027120 is 21720979.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 979027120.

It is not an unprimeable number, because it can be changed into a prime (979027121) 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, 142975 + ... + 149665.

It is an arithmetic number, because the mean of its divisors is an integer number (29873088).

Almost surely, 2979027120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194923520).

979027120 is an abundant number, since it is smaller than the sum of its proper divisors (1410819920).

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

979027120 is a wasteful number, since it uses less digits than its factorization.

979027120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 979027120 is about 31289.4090708022. The cubic root of 979027120 is about 992.9595889370.

The spelling of 979027120 in words is "nine hundred seventy-nine million, twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 59 62 80 118 124 155 236 248 295 310 472 496 590 620 944 1180 1240 1829 2360 2480 3658 4720 6691 7316 9145 13382 14632 18290 26764 29264 33455 36580 53528 66910 73160 107056 133820 146320 207421 267640 394769 414842 535280 789538 829684 1037105 1579076 1659368 1973845 2074210 3158152 3318736 3947690 4148420 6316304 7895380 8296840 12237839 15790760 16593680 24475678 31581520 48951356 61189195 97902712 122378390 195805424 244756780 489513560 979027120