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1148628 = 2231337199
BaseRepresentation
bin100011000011011010100
32011100121210
410120123110
5243224003
640341420
712522525
oct4303324
92140553
101148628
11714a88
12474870
13312a80
1421c84c
1517a503
hex1186d4

1148628 has 48 divisors (see below), whose sum is σ = 2979200. Its totient is φ = 342144.

The previous prime is 1148621. The next prime is 1148629. The reversal of 1148628 is 8268411.

Its product of digits (3072) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 1148595 and 1148604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5673 + ... + 5871.

21148628 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 1148628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489600).

1148628 is an abundant number, since it is smaller than the sum of its proper divisors (1830572).

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

1148628 is a wasteful number, since it uses less digits than its factorization.

1148628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1148628 is about 1071.7406402670. The cubic root of 1148628 is about 104.7272740973.

The spelling of 1148628 in words is "one million, one hundred forty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 199 222 398 444 481 597 796 962 1194 1443 1924 2388 2587 2886 5174 5772 7363 7761 10348 14726 15522 22089 29452 31044 44178 88356 95719 191438 287157 382876 574314 1148628