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58234680 = 2333577703
BaseRepresentation
bin1101111000100…
…1011100111000
311001120121222000
43132021130320
5104402002210
65440101000
71304662260
oct336113470
9131517860
1058234680
112a965639
1217604760
13c0ac5ba
147a3c7a0
1551a4ac0
hex3789738

58234680 has 128 divisors (see below), whose sum is σ = 221875200. Its totient is φ = 13309056.

The previous prime is 58234669. The next prime is 58234691. The reversal of 58234680 is 8643285.

It is an interprime number because it is at equal distance from previous prime (58234669) and next prime (58234691).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3709 + ... + 11411.

It is an arithmetic number, because the mean of its divisors is an integer number (1733400).

Almost surely, 258234680 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 58234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110937600).

58234680 is an abundant number, since it is smaller than the sum of its proper divisors (163640520).

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

58234680 is a wasteful number, since it uses less digits than its factorization.

58234680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58234680 is about 7631.1650486672. The cubic root of 58234680 is about 387.6090404202.

The spelling of 58234680 in words is "fifty-eight million, two hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 7703 15406 23109 30812 38515 46218 53921 61624 69327 77030 92436 107842 115545 138654 154060 161763 184872 207981 215684 231090 269605 277308 308120 323526 346635 415962 431368 462180 485289 539210 554616 647052 693270 808815 831924 924360 970578 1039905 1078420 1294104 1386540 1455867 1617630 1663848 1941156 2079810 2156840 2426445 2773080 2911734 3235260 3882312 4159620 4852890 5823468 6470520 7279335 8319240 9705780 11646936 14558670 19411560 29117340 58234680