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97266240 = 2632533773
BaseRepresentation
bin1011100110000…
…10101001000000
320210000122012100
411303002221000
5144400004430
613352430400
72260515021
oct563025100
9223018170
1097266240
114a9a4625
12286a8400
13171c73b6
14ccbcc48
158814960
hex5cc2a40

97266240 has 84 divisors (see below), whose sum is σ = 334565244. Its totient is φ = 25936896.

The previous prime is 97266233. The next prime is 97266271. The reversal of 97266240 is 4266279.

It is a happy number.

97266240 is a `hidden beast` number, since 9 + 7 + 26 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 50808384 = 6816^2 + 7128^2 .

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 = 97266195 and 97266204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14007 + ... + 19766.

Almost surely, 297266240 is an apocalyptic number.

97266240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97266240 is an abundant number, since it is smaller than the sum of its proper divisors (237299004).

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

97266240 is a wasteful number, since it uses less digits than its factorization.

97266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33796 (or 33783 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 97266240 is about 9862.3648279710. The cubic root of 97266240 is about 459.8900808568.

The spelling of 97266240 in words is "ninety-seven million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 33773 67546 101319 135092 168865 202638 270184 303957 337730 405276 506595 540368 607914 675460 810552 1013190 1080736 1215828 1350920 1519785 1621104 2026380 2161472 2431656 2701840 3039570 3242208 4052760 4863312 5403680 6079140 6484416 8105520 9726624 10807360 12158280 16211040 19453248 24316560 32422080 48633120 97266240