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1057559780 = 225234395237
BaseRepresentation
bin111111000010010…
…001010011100100
32201200222121021202
4333002101103210
54131213403110
6252535102032
735131052444
oct7702212344
92650877252
101057559780
114a2a68352
12256211918
1313b141524
14a0652124
1562ca10a5
hex3f0914e4

1057559780 has 48 divisors (see below), whose sum is σ = 2323157760. Its totient is φ = 403632768.

The previous prime is 1057559777. The next prime is 1057559801. The reversal of 1057559780 is 879557501.

It is a happy number.

It is a super-2 number, since 2×10575597802 = 2236865376547296800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199322 + ... + 204558.

It is an arithmetic number, because the mean of its divisors is an integer number (48399120).

Almost surely, 21057559780 is an apocalyptic number.

1057559780 is a gapful number since it is divisible by the number (10) 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 1057559780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161578880).

1057559780 is an abundant number, since it is smaller than the sum of its proper divisors (1265597980).

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

1057559780 is a wasteful number, since it uses less digits than its factorization.

1057559780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 47.

The square root of 1057559780 is about 32520.1442186224. The cubic root of 1057559780 is about 1018.8298062864.

The spelling of 1057559780 in words is "one billion, fifty-seven million, five hundred fifty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 439 460 878 1756 2195 4390 5237 8780 10097 10474 20194 20948 26185 40388 50485 52370 100970 104740 120451 201940 240902 481804 602255 1204510 2299043 2409020 4598086 9196172 11495215 22990430 45980860 52877989 105755978 211511956 264389945 528779890 1057559780