Search a number
-
+
1021333056 = 26325121193
BaseRepresentation
bin111100111000000…
…100111001000000
32122011211002120020
4330320010321000
54042430124211
6245202413440
734211121252
oct7470047100
92564732506
101021333056
11484574707
12246061280
131337992b3
1499901cd2
155e9e7306
hex3ce04e40

1021333056 has 56 divisors (see below), whose sum is σ = 2713171104. Its totient is φ = 339072000.

The previous prime is 1021333003. The next prime is 1021333097. The reversal of 1021333056 is 6503331201.

It is a happy number.

It is a super-2 number, since 2×10213330562 = 2086242422556598272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37596 + ... + 58788.

It is an arithmetic number, because the mean of its divisors is an integer number (48449484).

Almost surely, 21021333056 is an apocalyptic number.

1021333056 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 1021333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356585552).

1021333056 is an abundant number, since it is smaller than the sum of its proper divisors (1691838048).

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

1021333056 is a wasteful number, since it uses less digits than its factorization.

1021333056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21459 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1021333056 is about 31958.3018322313. The cubic root of 1021333056 is about 1007.0610429880.

Adding to 1021333056 its reverse (6503331201), we get a palindrome (7524664257).

The spelling of 1021333056 in words is "one billion, twenty-one million, three hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 21193 24096 42386 48192 63579 84772 127158 169544 254316 339088 508632 678176 1017264 1356352 2034528 4069056 5319443 10638886 15958329 21277772 31916658 42555544 63833316 85111088 127666632 170222176 255333264 340444352 510666528 1021333056