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1057017240 = 233252936159
BaseRepresentation
bin111111000000001…
…100110110011000
32201122222001001200
4333000030312120
54131044022430
6252515314200
735123332626
oct7700146630
92648861050
101057017240
114a2727774
12255bab960
1313acb15b6
14a0550516
1562be5460
hex3f00cd98

1057017240 has 48 divisors (see below), whose sum is σ = 3435307200. Its totient is φ = 281871168.

The previous prime is 1057017223. The next prime is 1057017287. The reversal of 1057017240 is 427107501.

It is a super-2 number, since 2×10570172402 = 2234570891314435200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1467720 + ... + 1468439.

It is an arithmetic number, because the mean of its divisors is an integer number (71568900).

Almost surely, 21057017240 is an apocalyptic number.

1057017240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057017240 is an abundant number, since it is smaller than the sum of its proper divisors (2378289960).

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

1057017240 is a wasteful number, since it uses less digits than its factorization.

1057017240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936176 (or 2936169 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1057017240 is about 32511.8015495912. The cubic root of 1057017240 is about 1018.6555527883.

The spelling of 1057017240 in words is "one billion, fifty-seven million, seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2936159 5872318 8808477 11744636 14680795 17616954 23489272 26425431 29361590 35233908 44042385 52850862 58723180 70467816 88084770 105701724 117446360 132127155 176169540 211403448 264254310 352339080 528508620 1057017240