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1057250712 = 233747257521
BaseRepresentation
bin111111000001000…
…101110110011000
32201200101220022210
4333001011312120
54131124010322
6252524315120
735125324410
oct7701056630
92650356283
101057250712
114a2877121
122560a2aa0
1313b06394b
14a05b1640
1562c3e70c
hex3f045d98

1057250712 has 128 divisors (see below), whose sum is σ = 3102935040. Its totient is φ = 293928960.

The previous prime is 1057250707. The next prime is 1057250771. The reversal of 1057250712 is 2170527501.

1057250712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10572507122 = 2235558136049013888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057250712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029012 + ... + 2029532.

It is an arithmetic number, because the mean of its divisors is an integer number (24241680).

Almost surely, 21057250712 is an apocalyptic number.

1057250712 is a gapful number since it is divisible by the number (12) 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 1057250712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551467520).

1057250712 is an abundant number, since it is smaller than the sum of its proper divisors (2045684328).

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

1057250712 is a wasteful number, since it uses less digits than its factorization.

1057250712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 1057250712 is about 32515.3919244410. The cubic root of 1057250712 is about 1018.7305468477.

The spelling of 1057250712 in words is "one billion, fifty-seven million, two hundred fifty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 257 282 329 376 514 521 564 658 771 987 1028 1042 1128 1316 1542 1563 1799 1974 2056 2084 2632 3084 3126 3598 3647 3948 4168 5397 6168 6252 7196 7294 7896 10794 10941 12079 12504 14392 14588 21588 21882 24158 24487 29176 36237 43176 43764 48316 48974 72474 73461 84553 87528 96632 97948 133897 144948 146922 169106 171409 195896 253659 267794 289896 293844 338212 342818 401691 507318 514227 535588 587688 676424 685636 803382 937279 1014636 1028454 1071176 1371272 1606764 1874558 2029272 2056908 2811837 3213528 3749116 4113816 5623674 6293159 7498232 11247348 12586318 18879477 22494696 25172636 37758954 44052113 50345272 75517908 88104226 132156339 151035816 176208452 264312678 352416904 528625356 1057250712