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114903628 = 227389941
BaseRepresentation
bin1101101100101…
…00101001001100
322000012201010221
412312110221030
5213403404003
615222441124
72563444000
oct666245114
9260181127
10114903628
1159950884
12325931a4
131aa61318
1411390700
15a14a7bd
hex6d94a4c

114903628 has 48 divisors (see below), whose sum is σ = 237384000. Its totient is φ = 48639360.

The previous prime is 114903617. The next prime is 114903707. The reversal of 114903628 is 826309411.

It is a junction number, because it is equal to n+sod(n) for n = 114903593 and 114903602.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121638 + ... + 122578.

It is an arithmetic number, because the mean of its divisors is an integer number (4945500).

Almost surely, 2114903628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114903628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118692000).

114903628 is an abundant number, since it is smaller than the sum of its proper divisors (122480372).

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

114903628 is an equidigital number, since it uses as much as digits as its factorization.

114903628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 114903628 is about 10719.3109853199. The cubic root of 114903628 is about 486.1585340875.

The spelling of 114903628 in words is "one hundred fourteen million, nine hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 343 356 623 686 941 1246 1372 1882 2492 3764 4361 6587 8722 13174 17444 26348 30527 46109 61054 83749 92218 122108 167498 184436 322763 334996 586243 645526 1172486 1291052 2344972 4103701 8207402 16414804 28725907 57451814 114903628