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93870090 = 2345172401
BaseRepresentation
bin1011001100001…
…01100000001010
320112122002120000
411212011200022
5143012320330
613151543430
72216611506
oct546054012
9215562500
1093870090
1148a94a96
122752ab76
13165a8642
14c677306
158393560
hex598580a

93870090 has 120 divisors (see below), whose sum is σ = 268795692. Its totient is φ = 23500800.

The previous prime is 93870083. The next prime is 93870097. The reversal of 93870090 is 9007839.

It is an interprime number because it is at equal distance from previous prime (93870083) and next prime (93870097).

It can be written as a sum of positive squares in 6 ways, for example, as 89472681 + 4397409 = 9459^2 + 2097^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93870097) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 233890 + ... + 234290.

Almost surely, 293870090 is an apocalyptic number.

93870090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93870090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134397846).

93870090 is an abundant number, since it is smaller than the sum of its proper divisors (174925602).

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

93870090 is a wasteful number, since it uses less digits than its factorization.

93870090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 93870090 is about 9688.6578017804. The cubic root of 93870090 is about 454.4740370099.

The spelling of 93870090 in words is "ninety-three million, eight hundred seventy thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 289 306 401 405 459 510 578 765 802 810 867 918 1203 1377 1445 1530 1734 2005 2295 2406 2601 2754 2890 3609 4010 4335 4590 5202 6015 6817 6885 7218 7803 8670 10827 12030 13005 13634 13770 15606 18045 20451 21654 23409 26010 32481 34085 36090 39015 40902 46818 54135 61353 64962 68170 78030 102255 108270 115889 117045 122706 162405 184059 204510 231778 234090 306765 324810 347667 368118 552177 579445 613530 695334 920295 1043001 1104354 1158890 1738335 1840590 2086002 2760885 3129003 3476670 5215005 5521770 6258006 9387009 10430010 15645015 18774018 31290030 46935045 93870090