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102042240 = 273553147
BaseRepresentation
bin1100001010100…
…00101010000000
321010000021122020
412011100222000
5202110322430
614043041440
72346226146
oct605205200
9233007566
10102042240
1152666933
122a210280
13181aa231
14d7a3596
158e59b10
hex6150a80

102042240 has 64 divisors (see below), whose sum is σ = 325265760. Its totient is φ = 27210752.

The previous prime is 102042223. The next prime is 102042251. The reversal of 102042240 is 42240201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24654 + ... + 28493.

Almost surely, 2102042240 is an apocalyptic number.

102042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102042240 is an abundant number, since it is smaller than the sum of its proper divisors (223223520).

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

102042240 is an equidigital number, since it uses as much as digits as its factorization.

102042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53169 (or 53157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 102042240 is about 10101.5959135178. The cubic root of 102042240 is about 467.2973603938.

Adding to 102042240 its reverse (42240201), we get a palindrome (144282441).

The spelling of 102042240 in words is "one hundred two million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 53147 106294 159441 212588 265735 318882 425176 531470 637764 797205 850352 1062940 1275528 1594410 1700704 2125880 2551056 3188820 3401408 4251760 5102112 6377640 6802816 8503520 10204224 12755280 17007040 20408448 25510560 34014080 51021120 102042240