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103970020 = 225711181373
BaseRepresentation
bin1100011001001…
…11010011100100
321020122020001111
412030213103210
5203104020040
614152234404
72401505410
oct614472344
9236566044
10103970020
1153763240
122a99ba04
131870382b
14db45d40
1591dadea
hex63274e4

103970020 has 96 divisors (see below), whose sum is σ = 274450176. Its totient is φ = 32140800.

The previous prime is 103969979. The next prime is 103970021. The reversal of 103970020 is 20079301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103969973 and 103970000.

It is not an unprimeable number, because it can be changed into a prime (103970021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278554 + ... + 278926.

It is an arithmetic number, because the mean of its divisors is an integer number (2858856).

Almost surely, 2103970020 is an apocalyptic number.

103970020 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 103970020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225088).

103970020 is an abundant number, since it is smaller than the sum of its proper divisors (170480156).

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

103970020 is a wasteful number, since it uses less digits than its factorization.

103970020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 103970020 is about 10196.5690308064. The cubic root of 103970020 is about 470.2217453719.

The spelling of 103970020 in words is "one hundred three million, nine hundred seventy thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 181 220 308 362 373 385 724 746 770 905 1267 1492 1540 1810 1865 1991 2534 2611 3620 3730 3982 4103 5068 5222 6335 7460 7964 8206 9955 10444 12670 13055 13937 16412 19910 20515 25340 26110 27874 28721 39820 41030 52220 55748 57442 67513 69685 82060 114884 135026 139370 143605 270052 278740 287210 337565 472591 574420 675130 742643 945182 1350260 1485286 1890364 2362955 2970572 3713215 4725910 5198501 7426430 9451820 10397002 14852860 20794004 25992505 51985010 103970020