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690374272 = 27719107379
BaseRepresentation
bin101001001001100…
…100011010000000
31210010001122110111
4221021210122000
52403213434042
6152301041104
723052040660
oct5111443200
91703048414
10690374272
11324775455
12173256194
13b004bcb3
14679901a0
1540920517
hex29264680

690374272 has 128 divisors (see below), whose sum is σ = 1674432000. Its totient is φ = 276950016.

The previous prime is 690374263. The next prime is 690374299. The reversal of 690374272 is 272473096.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1821379 + ... + 1821757.

It is an arithmetic number, because the mean of its divisors is an integer number (13081500).

Almost surely, 2690374272 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 690374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837216000).

690374272 is an abundant number, since it is smaller than the sum of its proper divisors (984057728).

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

690374272 is a wasteful number, since it uses less digits than its factorization.

690374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 690374272 is about 26274.9742530797. The cubic root of 690374272 is about 883.8153351224.

The spelling of 690374272 in words is "six hundred ninety million, three hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 107 112 128 133 152 214 224 266 304 379 428 448 532 608 749 758 856 896 1064 1216 1498 1516 1712 2033 2128 2432 2653 2996 3032 3424 4066 4256 5306 5992 6064 6848 7201 8132 8512 10612 11984 12128 13696 14231 14402 16264 17024 21224 23968 24256 28462 28804 32528 40553 42448 47936 48512 50407 56924 57608 65056 81106 84896 95872 100814 113848 115216 130112 162212 169792 201628 227696 230432 260224 283871 324424 339584 403256 455392 460864 567742 648848 770507 806512 910784 921728 1135484 1297696 1541014 1613024 1821568 2270968 2595392 3082028 3226048 4541936 5190784 5393549 6164056 6452096 9083872 10787098 12328112 18167744 21574196 24656224 36335488 43148392 49312448 86296784 98624896 172593568 345187136 690374272