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1151024416 = 25371795431
BaseRepresentation
bin100010010011011…
…0011110100100000
32222012212002122221
41010212303310200
54324130240131
6310114240424
740344355213
oct10446636440
92865762587
101151024416
115407a5753
12281586114
13154607449
14acc2177a
156b0b4411
hex449b3d20

1151024416 has 48 divisors (see below), whose sum is σ = 2340757440. Its totient is φ = 556727040.

The previous prime is 1151024363. The next prime is 1151024417. The reversal of 1151024416 is 6144201511.

It is not an unprimeable number, because it can be changed into a prime (1151024417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 209221 + ... + 214651.

It is an arithmetic number, because the mean of its divisors is an integer number (48765780).

Almost surely, 21151024416 is an apocalyptic number.

1151024416 is a gapful number since it is divisible by the number (16) 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 1151024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170378720).

1151024416 is an abundant number, since it is smaller than the sum of its proper divisors (1189733024).

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

1151024416 is a wasteful number, since it uses less digits than its factorization.

1151024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1151024416 is about 33926.7507433294. The cubic root of 1151024416 is about 1048.0005535805. Note that the first 3 decimals are identical.

Adding to 1151024416 its reverse (6144201511), we get a palindrome (7295225927).

The spelling of 1151024416 in words is "one billion, one hundred fifty-one million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 179 296 358 592 716 1184 1432 2864 5431 5728 6623 10862 13246 21724 26492 43448 52984 86896 105968 173792 200947 211936 401894 803788 972149 1607576 1944298 3215152 3888596 6430304 7777192 15554384 31108768 35969513 71939026 143878052 287756104 575512208 1151024416