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102433240 = 235713107263
BaseRepresentation
bin1100001101100…
…00000111011000
321010202010222201
412012300013120
5202210330430
614055255544
72352445120
oct606600730
9233663881
10102433240
1152903678
122a37a5b4
13182b61b0
14d865c80
158ed58ca
hex61b01d8

102433240 has 128 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 31993344.

The previous prime is 102433231. The next prime is 102433241. The reversal of 102433240 is 42334201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102433241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389349 + ... + 389611.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2102433240 is an apocalyptic number.

102433240 is a gapful number since it is divisible by the number (10) 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 102433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

102433240 is an abundant number, since it is smaller than the sum of its proper divisors (184967720).

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

102433240 is a wasteful number, since it uses less digits than its factorization.

102433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 102433240 is about 10120.9307872349. The cubic root of 102433240 is about 467.8934546947.

Adding to 102433240 its reverse (42334201), we get a palindrome (144767441).

The spelling of 102433240 in words is "one hundred two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 107 130 140 182 214 260 263 280 364 428 455 520 526 535 728 749 856 910 1052 1070 1315 1391 1498 1820 1841 2104 2140 2630 2782 2996 3419 3640 3682 3745 4280 5260 5564 5992 6838 6955 7364 7490 9205 9737 10520 11128 13676 13910 14728 14980 17095 18410 19474 23933 27352 27820 28141 29960 34190 36820 38948 47866 48685 55640 56282 68380 73640 77896 95732 97370 112564 119665 136760 140705 191464 194740 196987 225128 239330 281410 365833 389480 393974 478660 562820 731666 787948 957320 984935 1125640 1463332 1575896 1829165 1969870 2560831 2926664 3658330 3939740 5121662 7316660 7879480 10243324 12804155 14633320 20486648 25608310 51216620 102433240