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58109240 = 2357377179
BaseRepresentation
bin1101110110101…
…0110100111000
311001100020220002
43131222310320
5104333443430
65433252132
71303630460
oct335526470
9131306802
1058109240
112a88a372
1217564048
13c067487
147a08ba0
15517c845
hex376ad38

58109240 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 18869760.

The previous prime is 58109237. The next prime is 58109251. The reversal of 58109240 is 4290185.

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, 735521 + ... + 735599.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 258109240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58109240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

58109240 is an abundant number, since it is smaller than the sum of its proper divisors (99484360).

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

58109240 is a wasteful number, since it uses less digits than its factorization.

58109240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 58109240 is about 7622.9416894005. The cubic root of 58109240 is about 387.3305315149.

The spelling of 58109240 in words is "fifty-eight million, one hundred nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 71 74 79 140 142 148 158 185 259 280 284 296 316 355 370 395 497 518 553 568 632 710 740 790 994 1036 1106 1295 1420 1480 1580 1988 2072 2212 2485 2590 2627 2765 2840 2923 3160 3976 4424 4970 5180 5254 5530 5609 5846 9940 10360 10508 11060 11218 11692 13135 14615 18389 19880 20461 21016 22120 22436 23384 26270 28045 29230 36778 39263 40922 44872 52540 56090 58460 73556 78526 81844 91945 102305 105080 112180 116920 147112 157052 163688 183890 196315 204610 207533 224360 314104 367780 392630 409220 415066 735560 785260 818440 830132 1037665 1452731 1570520 1660264 2075330 2905462 4150660 5810924 7263655 8301320 11621848 14527310 29054620 58109240