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104422824 = 23331171619
BaseRepresentation
bin1100011100101…
…01110110101000
321021111020012000
412032111312220
5203213012244
614210051000
72405402502
oct616256650
9237436160
10104422824
1153a42460
122ab79a60
131883196c
14dc22d72
15927a169
hex6395da8

104422824 has 128 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 31147200.

The previous prime is 104422807. The next prime is 104422837. The reversal of 104422824 is 428224401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168387 + ... + 169005.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2104422824 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 104422824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

104422824 is an abundant number, since it is smaller than the sum of its proper divisors (216985176).

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

104422824 is a wasteful number, since it uses less digits than its factorization.

104422824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 104422824 is about 10218.7486513761. The cubic root of 104422824 is about 470.9033839718.

The spelling of 104422824 in words is "one hundred four million, four hundred twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 88 99 108 132 142 198 213 216 264 284 297 396 426 568 594 619 639 781 792 852 1188 1238 1278 1562 1704 1857 1917 2343 2376 2476 2556 3124 3714 3834 4686 4952 5112 5571 6248 6809 7029 7428 7668 9372 11142 13618 14058 14856 15336 16713 18744 20427 21087 22284 27236 28116 33426 40854 42174 43949 44568 54472 56232 61281 66852 81708 84348 87898 122562 131847 133704 163416 168696 175796 183843 245124 263694 351592 367686 395541 483439 490248 527388 735372 791082 966878 1054776 1186623 1450317 1470744 1582164 1933756 2373246 2900634 3164328 3867512 4350951 4746492 5801268 8701902 9492984 11602536 13052853 17403804 26105706 34807608 52211412 104422824