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104283072 = 2633292081
BaseRepresentation
bin1100011011100…
…11101111000000
321021020010111000
412031303233000
5203144024242
614203052000
72404251165
oct615635700
9237203430
10104283072
1153957463
122ab11000
13187b317a
14dbc806c
15924da4c
hex6373bc0

104283072 has 112 divisors (see below), whose sum is σ = 317296800. Its totient is φ = 33546240.

The previous prime is 104283059. The next prime is 104283079. The reversal of 104283072 is 270382401.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104283079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49072 + ... + 51152.

Almost surely, 2104283072 is an apocalyptic number.

104283072 is a gapful number since it is divisible by the number (12) 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 104283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158648400).

104283072 is an abundant number, since it is smaller than the sum of its proper divisors (213013728).

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

104283072 is a wasteful number, since it uses less digits than its factorization.

104283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104283072 is about 10211.9083427144. The cubic root of 104283072 is about 470.6932157749.

The spelling of 104283072 in words is "one hundred four million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2081 2088 2784 3132 4162 4176 5568 6243 6264 8324 8352 12486 12528 16648 16704 18729 24972 25056 33296 37458 49944 50112 56187 60349 66592 74916 99888 112374 120698 133184 149832 181047 199776 224748 241396 299664 362094 399552 449496 482792 543141 599328 724188 898992 965584 1086282 1198656 1448376 1629423 1797984 1931168 2172564 2896752 3258846 3595968 3862336 4345128 5793504 6517692 8690256 11587008 13035384 17380512 26070768 34761024 52141536 104283072