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103460240 = 24513531877
BaseRepresentation
bin1100010101010…
…10110110010000
321012200022202202
412022222312100
5202441211430
614133302332
72364253232
oct612526620
9235608682
10103460240
1153445234
122a7949a8
13185857a0
14da52252
159139d45
hex62aad90

103460240 has 80 divisors (see below), whose sum is σ = 264076848. Its totient is φ = 37459968.

The previous prime is 103460239. The next prime is 103460243. The reversal of 103460240 is 42064301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 102657424 = 896^2 + 10132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103460243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54182 + ... + 56058.

Almost surely, 2103460240 is an apocalyptic number.

103460240 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 103460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132038424).

103460240 is an abundant number, since it is smaller than the sum of its proper divisors (160616608).

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

103460240 is a wasteful number, since it uses less digits than its factorization.

103460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 103460240 is about 10171.5406895907. The cubic root of 103460240 is about 469.4519642080.

The spelling of 103460240 in words is "one hundred three million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 1877 2120 2756 3445 3754 4240 5512 6890 7508 9385 11024 13780 15016 18770 24401 27560 30032 37540 48802 55120 75080 97604 99481 122005 150160 195208 198962 244010 390416 397924 488020 497405 795848 976040 994810 1293253 1591696 1952080 1989620 2586506 3979240 5173012 6466265 7958480 10346024 12932530 20692048 25865060 51730120 103460240