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102023640 = 233251671697
BaseRepresentation
bin1100001010011…
…00000111011000
321002222100010100
412011030013120
5202104224030
614042415400
72346121005
oct605140730
9232870110
10102023640
1152653964
122a201560
13181a1924
14d79a8ac
158e54360
hex614c1d8

102023640 has 96 divisors (see below), whose sum is σ = 333758880. Its totient is φ = 27027456.

The previous prime is 102023633. The next prime is 102023651. The reversal of 102023640 is 46320201.

It is a happy number.

102023640 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 23 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59272 + ... + 60968.

It is an arithmetic number, because the mean of its divisors is an integer number (3476655).

Almost surely, 2102023640 is an apocalyptic number.

102023640 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 102023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166879440).

102023640 is an abundant number, since it is smaller than the sum of its proper divisors (231735240).

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

102023640 is a wasteful number, since it uses less digits than its factorization.

102023640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102023640 is about 10100.6752249540. The cubic root of 102023640 is about 467.2689660771.

Adding to 102023640 its reverse (46320201), we get a palindrome (148343841).

The spelling of 102023640 in words is "one hundred two million, twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 1697 2004 2505 3006 3340 3394 4008 5010 5091 6012 6680 6788 7515 8485 10020 10182 12024 13576 15030 15273 16970 20040 20364 25455 30060 30546 33940 40728 50910 60120 61092 67880 76365 101820 122184 152730 203640 283399 305460 566798 610920 850197 1133596 1416995 1700394 2267192 2550591 2833990 3400788 4250985 5101182 5667980 6801576 8501970 10202364 11335960 12752955 17003940 20404728 25505910 34007880 51011820 102023640