Search a number
-
+
970380864 = 26331374099
BaseRepresentation
bin111001110101101…
…101011001000000
32111121221110022000
4321311231121000
53441404141424
6240142344000
733022046505
oct7165553100
92447843260
10970380864
11458833562
12230b8b000
1312606967b
1492c3b4ac
155a2d03c9
hex39d6d640

970380864 has 112 divisors (see below), whose sum is σ = 2874264000. Its totient is φ = 321020928.

The previous prime is 970380841. The next prime is 970380877. The reversal of 970380864 is 468083079.

It is a happy number.

970380864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234687 + ... + 238785.

Almost surely, 2970380864 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 970380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437132000).

970380864 is an abundant number, since it is smaller than the sum of its proper divisors (1903883136).

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

970380864 is a wasteful number, since it uses less digits than its factorization.

970380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 970380864 is about 31150.9368077430. The cubic root of 970380864 is about 990.0278412740.

The spelling of 970380864 in words is "nine hundred seventy million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1644 1728 2192 2466 3288 3699 4099 4384 4932 6576 7398 8198 8768 9864 12297 13152 14796 16396 19728 24594 26304 29592 32792 36891 39456 49188 59184 65584 73782 78912 98376 110673 118368 131168 147564 196752 221346 236736 262336 295128 393504 442692 561563 590256 787008 885384 1123126 1180512 1684689 1770768 2246252 2361024 3369378 3541536 4492504 5054067 6738756 7083072 8985008 10108134 13477512 15162201 17970016 20216268 26955024 30324402 35940032 40432536 53910048 60648804 80865072 107820096 121297608 161730144 242595216 323460288 485190432 970380864