Search a number
-
+
93649140 = 2232513311291
BaseRepresentation
bin1011001010011…
…11100011110100
320112012212110200
411211033203310
5142433233030
613143120500
72215001364
oct545174364
9215185420
1093649140
1148953a92
1227443130
131652bbc0
14c61a9a4
15834cd60
hex594f8f4

93649140 has 144 divisors (see below), whose sum is σ = 316033536. Its totient is φ = 22291200.

The previous prime is 93649121. The next prime is 93649159. The reversal of 93649140 is 4194639.

93649140 is a `hidden beast` number, since 9 + 3 + 649 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (93649121) and next prime (93649159).

It is a super-2 number, since 2×936491402 = 17540322845479200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 93649095 and 93649104.

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, 71895 + ... + 73185.

Almost surely, 293649140 is an apocalyptic number.

93649140 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 93649140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158016768).

93649140 is an abundant number, since it is smaller than the sum of its proper divisors (222384396).

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

93649140 is a wasteful number, since it uses less digits than its factorization.

93649140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93649140 is about 9677.2485759125. The cubic root of 93649140 is about 454.1171788328.

The spelling of 93649140 in words is "ninety-three million, six hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1291 1395 1612 1860 2015 2340 2418 2582 2790 3627 3873 4030 4836 5164 5580 6045 6455 7254 7746 8060 11619 12090 12910 14508 15492 16783 18135 19365 23238 24180 25820 33566 36270 38730 40021 46476 50349 58095 67132 72540 77460 80042 83915 100698 116190 120063 151047 160084 167830 200105 201396 232380 240126 251745 302094 335660 360189 400210 480252 503490 520273 600315 604188 720378 755235 800420 1006980 1040546 1200630 1440756 1510470 1560819 1800945 2081092 2401260 2601365 3020940 3121638 3601890 4682457 5202730 6243276 7203780 7804095 9364914 10405460 15608190 18729828 23412285 31216380 46824570 93649140