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1057409232 = 243112002669
BaseRepresentation
bin111111000001101…
…100100011010000
32201200200221202220
4333001230203100
54131144043412
6252531541040
735126554515
oct7701544320
92650627686
101057409232
114a2975230
1225615a780
1313b0bab49
14a061330c
1562c7168c
hex3f06c8d0

1057409232 has 40 divisors (see below), whose sum is σ = 2979972960. Its totient is φ = 320426880.

The previous prime is 1057409219. The next prime is 1057409251. The reversal of 1057409232 is 2329047501.

It is a super-2 number, since 2×10574092322 = 2236228567837659648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1057409193 and 1057409202.

It is a congruent number.

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, 1000807 + ... + 1001862.

It is an arithmetic number, because the mean of its divisors is an integer number (74499324).

Almost surely, 21057409232 is an apocalyptic number.

1057409232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057409232 is an abundant number, since it is smaller than the sum of its proper divisors (1922563728).

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

1057409232 is a wasteful number, since it uses less digits than its factorization.

1057409232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002691 (or 2002685 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1057409232 is about 32517.8294478583. The cubic root of 1057409232 is about 1018.7814591161.

The spelling of 1057409232 in words is "one billion, fifty-seven million, four hundred nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2002669 4005338 6008007 8010676 12016014 16021352 22029359 24032028 32042704 44058718 48064056 66088077 88117436 96128112 132176154 176234872 264352308 352469744 528704616 1057409232