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1058681740 = 2253767131163
BaseRepresentation
bin111111000110100…
…011001110001100
32201210002121022211
4333012203032030
54132010303430
6253015120204
735143434454
oct7706431614
92653077284
101058681740
114a3664296
12256673064
1313b4450cc
14a0864d64
1562e2372a
hex3f1a338c

1058681740 has 96 divisors (see below), whose sum is σ = 2349414144. Its totient is φ = 400308480.

The previous prime is 1058681719. The next prime is 1058681747. The reversal of 1058681740 is 471868501.

It is a super-2 number, since 2×10586817402 = 2241614053218855200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058681693 and 1058681702.

It is not an unprimeable number, because it can be changed into a prime (1058681747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6494899 + ... + 6495061.

It is an arithmetic number, because the mean of its divisors is an integer number (24473064).

Almost surely, 21058681740 is an apocalyptic number.

1058681740 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 1058681740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174707072).

1058681740 is an abundant number, since it is smaller than the sum of its proper divisors (1290732404).

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

1058681740 is a wasteful number, since it uses less digits than its factorization.

1058681740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1058681740 is about 32537.3898768786. The cubic root of 1058681740 is about 1019.1899694714.

The spelling of 1058681740 in words is "one billion, fifty-eight million, six hundred eighty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 67 74 131 134 148 163 185 262 268 326 335 370 524 652 655 670 740 815 1310 1340 1630 2479 2620 3260 4847 4958 6031 8777 9694 9916 10921 12062 12395 17554 19388 21353 21842 24124 24235 24790 30155 35108 42706 43684 43885 48470 49580 54605 60310 85412 87770 96940 106765 109210 120620 175540 213530 218420 324749 404077 427060 649498 790061 808154 1298996 1430651 1580122 1616308 1623745 2020385 2861302 3160244 3247490 3950305 4040770 5722604 6494980 7153255 7900610 8081540 14306510 15801220 28613020 52934087 105868174 211736348 264670435 529340870 1058681740