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969998640 = 2435131916363
BaseRepresentation
bin111001110100010…
…000000100110000
32111121020000222120
4321310100010300
53441304424030
6240130234240
733015565242
oct7164200460
92447200876
10969998640
114585a2376
12230a25980
13125c646c0
1492b7c092
155a257010
hex39d10130

969998640 has 160 divisors (see below), whose sum is σ = 3408948480. Its totient is φ = 226188288.

The previous prime is 969998639. The next prime is 969998651. The reversal of 969998640 is 46899969.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51099 + ... + 67461.

It is an arithmetic number, because the mean of its divisors is an integer number (21305928).

Almost surely, 2969998640 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 969998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704474240).

969998640 is an abundant number, since it is smaller than the sum of its proper divisors (2438949840).

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

969998640 is a wasteful number, since it uses less digits than its factorization.

969998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16405 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The square root of 969998640 is about 31144.8011713031. The cubic root of 969998640 is about 989.8978366160.

The spelling of 969998640 in words is "nine hundred sixty-nine million, nine hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 16363 19760 29640 32726 49089 59280 65452 81815 98178 130904 163630 196356 212719 245445 261808 310897 327260 392712 425438 490890 621794 638157 654520 785424 850876 932691 981780 1063595 1243588 1276314 1309040 1554485 1701752 1865382 1963560 2127190 2487176 2552628 3108970 3190785 3403504 3730764 3927120 4041661 4254380 4663455 4974352 5105256 6217940 6381570 7461528 8083322 8508760 9326910 10210512 12124983 12435880 12763140 14923056 16166644 17017520 18653820 20208305 24249966 24871760 25526280 32333288 37307640 40416610 48499932 51052560 60624915 64666576 74615280 80833220 96999864 121249830 161666440 193999728 242499660 323332880 484999320 969998640