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690896640 = 2835725703
BaseRepresentation
bin101001001011100…
…011111100000000
31210011001012000110
4221023203330000
52403332143030
6152320151320
723056344630
oct5113437400
91704035013
10690896640
11324aa1965
12173468540
13b01a29a5
1467a886c0
15409c51b0
hex292e3f00

690896640 has 144 divisors (see below), whose sum is σ = 2521870848. Its totient is φ = 157913088.

The previous prime is 690896629. The next prime is 690896653. The reversal of 690896640 is 46698096.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 690896640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14029 + ... + 39731.

It is an arithmetic number, because the mean of its divisors is an integer number (17512992).

Almost surely, 2690896640 is an apocalyptic number.

690896640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260935424).

690896640 is an abundant number, since it is smaller than the sum of its proper divisors (1830974208).

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

690896640 is a wasteful number, since it uses less digits than its factorization.

690896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25734 (or 25720 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 690896640 is about 26284.9127828114. The cubic root of 690896640 is about 884.0381903063.

The spelling of 690896640 in words is "six hundred ninety million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 25703 26880 51406 77109 102812 128515 154218 179921 205624 257030 308436 359842 385545 411248 514060 539763 616872 719684 771090 822496 899605 1028120 1079526 1233744 1439368 1542180 1644992 1799210 2056240 2159052 2467488 2698815 2878736 3084360 3289984 3598420 4112480 4318104 4934976 5397630 5757472 6168720 6579968 7196840 8224960 8636208 9869952 10795260 11514944 12337440 14393680 16449920 17272416 19739904 21590520 23029888 24674880 28787360 32899840 34544832 43181040 46059776 49349760 57574720 69089664 86362080 98699520 115149440 138179328 172724160 230298880 345448320 690896640