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1025023384 = 237114913389
BaseRepresentation
bin111101000110001…
…001110110011000
32122102202120202001
4331012021312120
54044401222014
6245413450344
734254361240
oct7506116630
92572676661
101025023384
11486665270
122473409b4
1313448bc18
149a1c2b20
155eec5974
hex3d189d98

1025023384 has 64 divisors (see below), whose sum is σ = 2401747200. Its totient is φ = 398428800.

The previous prime is 1025023333. The next prime is 1025023387. The reversal of 1025023384 is 4833205201.

1025023384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10250233842 = 2101345875493622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025023387) 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, 300762 + ... + 304150.

It is an arithmetic number, because the mean of its divisors is an integer number (37527300).

Almost surely, 21025023384 is an apocalyptic number.

1025023384 is a gapful number since it is divisible by the number (14) 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 1025023384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200873600).

1025023384 is an abundant number, since it is smaller than the sum of its proper divisors (1376723816).

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

1025023384 is a wasteful number, since it uses less digits than its factorization.

1025023384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1025023384 is about 32015.9863818062. The cubic root of 1025023384 is about 1008.2725049540.

Adding to 1025023384 its reverse (4833205201), we get a palindrome (5858228585).

The spelling of 1025023384 in words is "one billion, twenty-five million, twenty-three thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 491 616 982 1964 3389 3437 3928 5401 6778 6874 10802 13556 13748 21604 23723 27112 27496 37279 37807 43208 47446 74558 75614 94892 149116 151228 189784 260953 298232 302456 521906 1043812 1663999 2087624 3327998 6655996 11647993 13311992 18303989 23295986 36607978 46591972 73215956 93183944 128127923 146431912 256255846 512511692 1025023384