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104829720 = 23356114321
BaseRepresentation
bin1100011111110…
…01001100011000
321022020220100020
412033321030120
5203314022340
614222510440
72412016002
oct617711430
9238226306
10104829720
11541a0136
122b135420
1318944c28
14dccb372
15930a9d0
hex63f9318

104829720 has 64 divisors (see below), whose sum is σ = 319667040. Its totient is φ = 27494400.

The previous prime is 104829713. The next prime is 104829731. The reversal of 104829720 is 27928401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160 + ... + 14480.

Almost surely, 2104829720 is an apocalyptic number.

104829720 is a gapful number since it is divisible by the number (10) 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 104829720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

104829720 is an abundant number, since it is smaller than the sum of its proper divisors (214837320).

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

104829720 is a wasteful number, since it uses less digits than its factorization.

104829720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14396 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 104829720 is about 10238.6385813740. The cubic root of 104829720 is about 471.5142349906.

It can be divided in two parts, 10482 and 9720, that added together give a palindrome (20202).

The spelling of 104829720 in words is "one hundred four million, eight hundred twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 14321 28642 42963 57284 71605 85926 114568 143210 171852 214815 286420 343704 429630 572840 859260 873581 1718520 1747162 2620743 3494324 4367905 5241486 6988648 8735810 10482972 13103715 17471620 20965944 26207430 34943240 52414860 104829720