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103626420 = 22355973401
BaseRepresentation
bin1100010110100…
…11011010110100
321012222202201120
412023103122310
5203012021140
614141023540
72365544562
oct613233264
9235882646
10103626420
1153549077
122a854bb0
1318613311
14da96a32
15916e1d0
hex62d36b4

103626420 has 96 divisors (see below), whose sum is σ = 299859840. Its totient is φ = 26726400.

The previous prime is 103626353. The next prime is 103626449. The reversal of 103626420 is 24626301.

It is a super-3 number, since 3×1036264203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 258220 + ... + 258620.

It is an arithmetic number, because the mean of its divisors is an integer number (3123540).

Almost surely, 2103626420 is an apocalyptic number.

103626420 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 103626420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149929920).

103626420 is an abundant number, since it is smaller than the sum of its proper divisors (196233420).

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

103626420 is a wasteful number, since it uses less digits than its factorization.

103626420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103626420 is about 10179.7062825997. The cubic root of 103626420 is about 469.7031776070.

The spelling of 103626420 in words is "one hundred three million, six hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 73 118 146 177 219 236 292 295 354 365 401 438 590 708 730 802 876 885 1095 1180 1203 1460 1604 1770 2005 2190 2406 3540 4010 4307 4380 4812 6015 8020 8614 12030 12921 17228 21535 23659 24060 25842 29273 43070 47318 51684 58546 64605 70977 86140 87819 94636 117092 118295 129210 141954 146365 175638 236590 258420 283908 292730 351276 354885 439095 473180 585460 709770 878190 1419540 1727107 1756380 3454214 5181321 6908428 8635535 10362642 17271070 20725284 25906605 34542140 51813210 103626420