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100327080 = 23357831439
BaseRepresentation
bin1011111101011…
…01111010101000
320222210010212210
411332231322220
5201140431310
613542205120
72325523530
oct576557250
9228703783
10100327080
11516a5247
12297237a0
1317a29649
14d4784c0
158c1b820
hex5fadea8

100327080 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 22639872.

The previous prime is 100327063. The next prime is 100327121. The reversal of 100327080 is 80723001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69001 + ... + 70439.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2100327080 is an apocalyptic number.

100327080 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 100327080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

100327080 is an abundant number, since it is smaller than the sum of its proper divisors (248037720).

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

100327080 is a wasteful number, since it uses less digits than its factorization.

100327080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 100327080 is about 10016.3406491593. The cubic root of 100327080 is about 464.6643895832.

The spelling of 100327080 in words is "one hundred million, three hundred twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 332 415 420 498 581 664 830 840 996 1162 1245 1439 1660 1743 1992 2324 2490 2878 2905 3320 3486 4317 4648 4980 5756 5810 6972 7195 8634 8715 9960 10073 11512 11620 13944 14390 17268 17430 20146 21585 23240 28780 30219 34536 34860 40292 43170 50365 57560 60438 69720 80584 86340 100730 119437 120876 151095 172680 201460 238874 241752 302190 358311 402920 477748 597185 604380 716622 836059 955496 1194370 1208760 1433244 1672118 1791555 2388740 2508177 2866488 3344236 3583110 4180295 4777480 5016354 6688472 7166220 8360590 10032708 12540885 14332440 16721180 20065416 25081770 33442360 50163540 100327080