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1057949690 = 25722159081
BaseRepresentation
bin111111000011110…
…000011111111010
32201201201102010212
4333003300133322
54131313342230
6252551311122
735134265300
oct7703603772
92651642125
101057949690
114a3204296
1225637b4a2
1313b249b45
14a0714270
1562d2b895
hex3f0f07fa

1057949690 has 24 divisors (see below), whose sum is σ = 2215218132. Its totient is φ = 362725440.

The previous prime is 1057949677. The next prime is 1057949693. The reversal of 1057949690 is 969497501.

It can be written as a sum of positive squares in 2 ways, for example, as 1046328409 + 11621281 = 32347^2 + 3409^2 .

It is a super-2 number, since 2×10579496902 = 2238515093142192200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1057949693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1079051 + ... + 1080030.

Almost surely, 21057949690 is an apocalyptic number.

1057949690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057949690 is an abundant number, since it is smaller than the sum of its proper divisors (1157268442).

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

1057949690 is a wasteful number, since it uses less digits than its factorization.

1057949690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159102 (or 2159095 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 50.

The square root of 1057949690 is about 32526.1385657751. The cubic root of 1057949690 is about 1018.9550011380.

The spelling of 1057949690 in words is "one billion, fifty-seven million, nine hundred forty-nine thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2159081 4318162 10795405 15113567 21590810 30227134 75567835 105794969 151135670 211589938 528974845 1057949690