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96038670 = 235713127277
BaseRepresentation
bin1011011100101…
…10111100001110
320200201021021210
411232112330032
5144041214140
613310235250
72244213060
oct556267416
9220637253
1096038670
114a236302
12281b5b26
1316b87720
14ca7d730
158670d80
hex5b96f0e

96038670 has 128 divisors (see below), whose sum is σ = 286949376. Its totient is φ = 20030976.

The previous prime is 96038659. The next prime is 96038689. The reversal of 96038670 is 7683069.

It is a super-2 number, since 2×960386702 = 18446852270737800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346572 + ... + 346848.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 296038670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143474688).

96038670 is an abundant number, since it is smaller than the sum of its proper divisors (190910706).

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

96038670 is a wasteful number, since it uses less digits than its factorization.

96038670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 96038670 is about 9799.9321426222. The cubic root of 96038670 is about 457.9471694622.

The spelling of 96038670 in words is "ninety-six million, thirty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 127 130 182 195 210 254 273 277 381 390 455 546 554 635 762 831 889 910 1270 1365 1385 1651 1662 1778 1905 1939 2667 2730 2770 3302 3601 3810 3878 4155 4445 4953 5334 5817 7202 8255 8310 8890 9695 9906 10803 11557 11634 13335 16510 18005 19390 21606 23114 24765 25207 26670 29085 34671 35179 36010 49530 50414 54015 57785 58170 69342 70358 75621 105537 108030 115570 126035 151242 173355 175895 211074 246253 252070 346710 351790 378105 457327 492506 527685 738759 756210 914654 1055370 1231265 1371981 1477518 2286635 2462530 2743962 3201289 3693795 4573270 6402578 6859905 7387590 9603867 13719810 16006445 19207734 32012890 48019335 96038670