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2103948 = 2233711223
BaseRepresentation
bin1000000001101010001100
310221220002000
420001222030
51014311243
6113032300
723611650
oct10015214
93856060
102103948
111207800
12855690
13588852
143caa60
152b85d3
hex201a8c

2103948 has 144 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 522720.

The previous prime is 2103919. The next prime is 2103953. The reversal of 2103948 is 8493012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91465 + ... + 91487.

22103948 is an apocalyptic number.

2103948 is a gapful number since it is divisible by the number (28) 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 2103948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).

2103948 is an abundant number, since it is smaller than the sum of its proper divisors (5046132).

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

2103948 is a wasteful number, since it uses less digits than its factorization.

2103948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2103948 is about 1450.4992244052. The cubic root of 2103948 is about 128.1381158891.

The spelling of 2103948 in words is "two million, one hundred three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 27 28 33 36 42 44 46 54 63 66 69 77 84 92 99 108 121 126 132 138 154 161 189 198 207 231 242 252 253 276 297 308 322 363 378 396 414 462 483 484 506 594 621 644 693 726 756 759 828 847 924 966 1012 1089 1188 1242 1386 1449 1452 1518 1694 1771 1932 2079 2178 2277 2484 2541 2772 2783 2898 3036 3267 3388 3542 4158 4347 4356 4554 5082 5313 5566 5796 6534 6831 7084 7623 8316 8349 8694 9108 10164 10626 11132 13068 13662 15246 15939 16698 17388 19481 21252 22869 25047 27324 30492 31878 33396 38962 45738 47817 50094 58443 63756 75141 77924 91476 95634 100188 116886 150282 175329 191268 233772 300564 350658 525987 701316 1051974 2103948