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89940240 = 24335133203
BaseRepresentation
bin1010101110001…
…10000100010000
320021020102211000
411113012010100
5141011041430
612531422000
72141323305
oct527060420
9207212730
1089940240
1146850485
1226154900
13158309a0
14bd330ac
157d68e60
hex55c6110

89940240 has 160 divisors (see below), whose sum is σ = 333728640. Its totient is φ = 22132224.

The previous prime is 89940233. The next prime is 89940247. The reversal of 89940240 is 4204998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89940233) and next prime (89940247).

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 = 89940195 and 89940204.

It is not an unprimeable number, because it can be changed into a prime (89940247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26479 + ... + 29681.

It is an arithmetic number, because the mean of its divisors is an integer number (2085804).

Almost surely, 289940240 is an apocalyptic number.

89940240 is a gapful number since it is divisible by the number (80) 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 89940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166864320).

89940240 is an abundant number, since it is smaller than the sum of its proper divisors (243788400).

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

89940240 is a wasteful number, since it uses less digits than its factorization.

89940240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89940240 is about 9483.6828289436. The cubic root of 89940240 is about 448.0412642689.

The spelling of 89940240 in words is "eighty-nine million, nine hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3203 3510 4680 5616 6406 7020 9360 9609 12812 14040 16015 19218 25624 28080 28827 32030 38436 41639 48045 51248 57654 64060 76872 83278 86481 96090 115308 124917 128120 144135 153744 166556 172962 192180 208195 230616 249834 256240 288270 333112 345924 374751 384360 416390 432405 461232 499668 576540 624585 666224 691848 749502 768720 832780 864810 999336 1124253 1153080 1249170 1383696 1499004 1665560 1729620 1873755 1998672 2248506 2306160 2498340 2998008 3331120 3459240 3747510 4497012 4996680 5621265 5996016 6918480 7495020 8994024 9993360 11242530 14990040 17988048 22485060 29980080 44970120 89940240