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2151407028 = 2232322271493
BaseRepresentation
bin1000000000111011…
…1101110110110100
312112221020210121210
42000032331312310
513401230011103
6553252041420
7104212441461
oct20016756664
95487223553
102151407028
11a0445aa41
12500603270
13283949814
14165a2c668
15c8d1de03
hex803bddb4

2151407028 has 72 divisors (see below), whose sum is σ = 5274345888. Its totient is φ = 682476608.

The previous prime is 2151407009. The next prime is 2151407029. The reversal of 2151407028 is 8207041512.

2151407028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2151406986 and 2151407004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151407029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440250 + ... + 1441742.

It is an arithmetic number, because the mean of its divisors is an integer number (73254804).

Almost surely, 22151407028 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 2151407028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637172944).

2151407028 is an abundant number, since it is smaller than the sum of its proper divisors (3122938860).

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

2151407028 is a wasteful number, since it uses less digits than its factorization.

2151407028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2151407028 is about 46383.2623690917. The cubic root of 2151407028 is about 1290.9443694813.

The spelling of 2151407028 in words is "two billion, one hundred fifty-one million, four hundred seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 227 276 454 529 681 908 1058 1362 1493 1587 2116 2724 2986 3174 4479 5221 5972 6348 8958 10442 15663 17916 20884 31326 34339 62652 68678 103017 120083 137356 206034 240166 338911 360249 412068 480332 677822 720498 789797 1016733 1355644 1440996 1579594 2033466 2369391 3159188 4066932 4738782 7794953 9477564 15589906 23384859 31179812 46769718 93539436 179283919 358567838 537851757 717135676 1075703514 2151407028