Search a number
-
+
1010147028 = 22311233110733
BaseRepresentation
bin111100001101011…
…001111011010100
32121101202210012220
4330031121323110
54032044201103
6244122542340
734014052032
oct7415317324
92541683186
101010147028
11479224460
122423679b0
13131380947
149822d552
155da37c53
hex3c359ed4

1010147028 has 96 divisors (see below), whose sum is σ = 2769887232. Its totient is φ = 283324800.

The previous prime is 1010147003. The next prime is 1010147029. The reversal of 1010147028 is 8207410101.

It is a junction number, because it is equal to n+sod(n) for n = 1010146989 and 1010147007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010147029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88750 + ... + 99482.

It is an arithmetic number, because the mean of its divisors is an integer number (28852992).

Almost surely, 21010147028 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 1010147028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384943616).

1010147028 is an abundant number, since it is smaller than the sum of its proper divisors (1759740204).

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

1010147028 is a wasteful number, since it uses less digits than its factorization.

1010147028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1010147028 is about 31782.8102596356. The cubic root of 1010147028 is about 1003.3709664831.

Adding to 1010147028 its reverse (8207410101), we get a palindrome (9217557129).

The spelling of 1010147028 in words is "one billion, ten million, one hundred forty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 2046 2139 2852 3036 4092 4278 7843 8556 10733 15686 21466 23529 31372 32199 42932 47058 64398 94116 118063 128796 236126 246859 332723 354189 472252 493718 665446 708378 740577 987436 998169 1330892 1416756 1481154 1996338 2715449 2962308 3659953 3992676 5430898 7319906 7652629 8146347 10861796 10979859 14639812 15305258 16292694 21959718 22957887 30610516 32585388 43919436 45915774 84178919 91831548 168357838 252536757 336715676 505073514 1010147028