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90101340 = 223257431663
BaseRepresentation
bin1010101111011…
…01011001011100
320021112121210200
411113231121130
5141031220330
612535103500
72142564060
oct527553134
9207477720
1090101340
114695051a
1226211b90
1315889104
14bd75aa0
157d9ba60
hex55ed65c

90101340 has 144 divisors (see below), whose sum is σ = 319807488. Its totient is φ = 20103552.

The previous prime is 90101339. The next prime is 90101351. The reversal of 90101340 is 4310109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53349 + ... + 55011.

Almost surely, 290101340 is an apocalyptic number.

90101340 is a gapful number since it is divisible by the number (90) 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 90101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159903744).

90101340 is an abundant number, since it is smaller than the sum of its proper divisors (229706148).

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

90101340 is a wasteful number, since it uses less digits than its factorization.

90101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90101340 is about 9492.1725648031. The cubic root of 90101340 is about 448.3086136215.

Adding to 90101340 its reverse (4310109), we get a palindrome (94411449).

The spelling of 90101340 in words is "ninety million, one hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1505 1548 1663 1806 1935 2580 2709 3010 3326 3612 3870 4515 4989 5418 6020 6652 7740 8315 9030 9978 10836 11641 13545 14967 16630 18060 19956 23282 24945 27090 29934 33260 34923 46564 49890 54180 58205 59868 69846 71509 74835 99780 104769 116410 139692 143018 149670 174615 209538 214527 232820 286036 299340 349230 357545 419076 429054 500563 523845 643581 698460 715090 858108 1001126 1047690 1072635 1287162 1430180 1501689 2002252 2095380 2145270 2502815 2574324 3003378 3217905 4290540 4505067 5005630 6006756 6435810 7508445 9010134 10011260 12871620 15016890 18020268 22525335 30033780 45050670 90101340