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85700608 = 2127361
BaseRepresentation
bin1010001101110…
…11000000000000
312222021001010121
411012323000000
5133414404413
612300510024
72060305000
oct506730000
9188231117
1085700608
1144415154
122484b314
13149a8026
14b54c000
1577ccb8d
hex51bb000

85700608 has 104 divisors (see below), whose sum is σ = 203136800. Its totient is φ = 36126720.

The previous prime is 85700603. The next prime is 85700639. The reversal of 85700608 is 80600758.

It is not an unprimeable number, because it can be changed into a prime (85700603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404898 + ... + 1404958.

Almost surely, 285700608 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 85700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101568400).

85700608 is an abundant number, since it is smaller than the sum of its proper divisors (117436192).

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

85700608 is an frugal number, since it uses more digits than its factorization.

85700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 85700608 is about 9257.4622872578. The cubic root of 85700608 is about 440.8876845074.

The spelling of 85700608 in words is "eighty-five million, seven hundred thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 343 392 427 448 488 512 686 784 854 896 976 1024 1372 1568 1708 1792 1952 2048 2744 2989 3136 3416 3584 3904 4096 5488 5978 6272 6832 7168 7808 10976 11956 12544 13664 14336 15616 20923 21952 23912 25088 27328 28672 31232 41846 43904 47824 50176 54656 62464 83692 87808 95648 100352 109312 124928 167384 175616 191296 200704 218624 249856 334768 351232 382592 437248 669536 702464 765184 874496 1339072 1404928 1530368 1748992 2678144 3060736 5356288 6121472 10712576 12242944 21425152 42850304 85700608