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969103872 = 2933116373
BaseRepresentation
bin111001110000110…
…101101000000000
32111112112120121000
4321300311220000
53441042310442
6240055132000
733005150502
oct7160655000
92445476530
10969103872
114580410a0
12230674000
13125a10359
14929c7d72
155a12bd4c
hex39c35a00

969103872 has 160 divisors (see below), whose sum is σ = 3129888960. Its totient is φ = 293621760.

The previous prime is 969103871. The next prime is 969103901. The reversal of 969103872 is 278301969.

It is not an unprimeable number, because it can be changed into a prime (969103871) 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, 148878 + ... + 155250.

It is an arithmetic number, because the mean of its divisors is an integer number (19561806).

Almost surely, 2969103872 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 969103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564944480).

969103872 is an abundant number, since it is smaller than the sum of its proper divisors (2160785088).

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

969103872 is a wasteful number, since it uses less digits than its factorization.

969103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 969103872 is about 31130.4332125334. The cubic root of 969103872 is about 989.5933683569.

The spelling of 969103872 in words is "nine hundred sixty-nine million, one hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6373 6912 8448 9504 12672 12746 13824 16896 19008 19119 25344 25492 38016 38238 50688 50984 57357 70103 76032 76476 101968 114714 140206 152064 152952 172071 203936 210309 229428 280412 305904 344142 407872 420618 458856 560824 611808 630927 688284 815744 841236 917712 1121648 1223616 1261854 1376568 1631488 1682472 1835424 1892781 2243296 2447232 2523708 2753136 3262976 3364944 3670848 3785562 4486592 4894464 5047416 5506272 6729888 7341696 7571124 8973184 9788928 10094832 11012544 13459776 14683392 15142248 17946368 20189664 22025088 26919552 29366784 30284496 35892736 40379328 44050176 53839104 60568992 80758656 88100352 107678208 121137984 161517312 242275968 323034624 484551936 969103872