Search a number
-
+
104174208 = 273343701
BaseRepresentation
bin1100011010110…
…01001010000000
321021000121011000
412031121022000
5203132033313
614200452000
72403315615
oct615311200
9237017130
10104174208
1153892696
122aa7a000
1318775758
14db9a50c
15922b673
hex6359280

104174208 has 128 divisors (see below), whose sum is σ = 315057600. Its totient is φ = 33868800.

The previous prime is 104174201. The next prime is 104174209. The reversal of 104174208 is 802471401.

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

It is a super-2 number, since 2×1041742082 = 21704531224854528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104174201) 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, 148258 + ... + 148958.

Almost surely, 2104174208 is an apocalyptic number.

104174208 is a gapful number since it is divisible by the number (18) 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 104174208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157528800).

104174208 is an abundant number, since it is smaller than the sum of its proper divisors (210883392).

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

104174208 is an equidigital number, since it uses as much as digits as its factorization.

104174208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104174208 is about 10206.5767032830. The cubic root of 104174208 is about 470.5293688327.

The spelling of 104174208 in words is "one hundred four million, one hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 701 774 864 1032 1152 1161 1376 1402 1548 1728 2064 2103 2322 2752 2804 3096 3456 4128 4206 4644 5504 5608 6192 6309 8256 8412 9288 11216 12384 12618 16512 16824 18576 18927 22432 24768 25236 30143 33648 37152 37854 44864 49536 50472 60286 67296 74304 75708 89728 90429 100944 120572 134592 148608 151416 180858 201888 241144 269184 271287 302832 361716 403776 482288 542574 605664 723432 807552 813861 964576 1085148 1211328 1446864 1627722 1929152 2170296 2422656 2893728 3255444 3858304 4340592 5787456 6510888 8681184 11574912 13021776 17362368 26043552 34724736 52087104 104174208