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102010440 = 23357121441
BaseRepresentation
bin1100001010010…
…00111001001000
321002221200000110
412011020321020
5202103313230
614042234320
72346034350
oct605107110
9232850013
10102010440
1152644a54
122a1b59a0
131819890c
14d795b60
158e504b0
hex6148e48

102010440 has 64 divisors (see below), whose sum is σ = 349752960. Its totient is φ = 23316480.

The previous prime is 102010439. The next prime is 102010477. The reversal of 102010440 is 44010201.

It is a super-2 number, since 2×1020104402 = 20812259737987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59881 + ... + 61560.

It is an arithmetic number, because the mean of its divisors is an integer number (5464890).

Almost surely, 2102010440 is an apocalyptic number.

102010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010440 is an abundant number, since it is smaller than the sum of its proper divisors (247742520).

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

102010440 is a wasteful number, since it uses less digits than its factorization.

102010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121462 (or 121458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102010440 is about 10100.0217821547. The cubic root of 102010440 is about 467.2488131779.

Adding to 102010440 its reverse (44010201), we get a palindrome (146020641).

The spelling of 102010440 in words is "one hundred two million, ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 121441 242882 364323 485764 607205 728646 850087 971528 1214410 1457292 1700174 1821615 2428820 2550261 2914584 3400348 3643230 4250435 4857640 5100522 6800696 7286460 8500870 10201044 12751305 14572920 17001740 20402088 25502610 34003480 51005220 102010440