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103991148 = 22331576133
BaseRepresentation
bin1100011001011…
…00011101101100
321020200022001000
412030230131230
5203110204043
614152520300
72401624122
oct614543554
9236608030
10103991148
11537780a8
122a9b0090
1318710331
14db4d912
1591e22d3
hex632c76c

103991148 has 48 divisors (see below), whose sum is σ = 271368160. Its totient is φ = 34437312.

The previous prime is 103991137. The next prime is 103991177. The reversal of 103991148 is 841199301.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13890 + ... + 20022.

Almost surely, 2103991148 is an apocalyptic number.

103991148 is a gapful number since it is divisible by the number (18) 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 103991148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135684080).

103991148 is an abundant number, since it is smaller than the sum of its proper divisors (167377012).

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

103991148 is a wasteful number, since it uses less digits than its factorization.

103991148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 103991148 is about 10197.6050129430. The cubic root of 103991148 is about 470.2535948485.

The spelling of 103991148 in words is "one hundred three million, nine hundred ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 6133 8478 12266 16956 18399 24532 36798 55197 73596 110394 165591 220788 331182 662364 962881 1925762 2888643 3851524 5777286 8665929 11554572 17331858 25997787 34663716 51995574 103991148