Search a number
-
+
1041520416 = 253191573637
BaseRepresentation
bin111110000101000…
…101011100100000
32200120210201102020
4332011011130200
54113112123131
6251203221440
734544530446
oct7605053440
92616721366
101041520416
11494a02782
12250977880
13137a16a91
149c478b96
1561683996
hex3e145720

1041520416 has 96 divisors (see below), whose sum is σ = 2897012160. Its totient is φ = 326716416.

The previous prime is 1041520409. The next prime is 1041520421. The reversal of 1041520416 is 6140251401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 284550 + ... + 288186.

It is an arithmetic number, because the mean of its divisors is an integer number (30177210).

Almost surely, 21041520416 is an apocalyptic number.

1041520416 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 1041520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448506080).

1041520416 is an abundant number, since it is smaller than the sum of its proper divisors (1855491744).

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

1041520416 is a wasteful number, since it uses less digits than its factorization.

1041520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1041520416 is about 32272.5954332774. The cubic root of 1041520416 is about 1013.6528889833.

Adding to 1041520416 its reverse (6140251401), we get a palindrome (7181771817).

The spelling of 1041520416 in words is "one billion, forty-one million, five hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 157 228 304 314 456 471 608 628 912 942 1256 1824 1884 2512 2983 3637 3768 5024 5966 7274 7536 8949 10911 11932 14548 15072 17898 21822 23864 29096 35796 43644 47728 58192 69103 71592 87288 95456 116384 138206 143184 174576 207309 276412 286368 349152 414618 552824 571009 829236 1105648 1142018 1658472 1713027 2211296 2284036 3316944 3426054 4568072 6633888 6852108 9136144 10849171 13704216 18272288 21698342 27408432 32547513 43396684 54816864 65095026 86793368 130190052 173586736 260380104 347173472 520760208 1041520416