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103040640 = 273356789
BaseRepresentation
bin1100010010001…
…00011010000000
321011220000012000
412021010122000
5202334300030
614120304000
72360555013
oct611043200
9234800160
10103040640
1153188a5a
122a612000
13184697c1
14d98337a
1590a5860
hex6244680

103040640 has 256 divisors, whose sum is σ = 374544000. Its totient is φ = 26763264.

The previous prime is 103040633. The next prime is 103040647. The reversal of 103040640 is 46040301.

It is an interprime number because it is at equal distance from previous prime (103040633) and next prime (103040647).

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

It is not an unprimeable number, because it can be changed into a prime (103040647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157716 + ... + 1157804.

Almost surely, 2103040640 is an apocalyptic number.

103040640 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 103040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272000).

103040640 is an abundant number, since it is smaller than the sum of its proper divisors (271503360).

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

103040640 is an equidigital number, since it uses as much as digits as its factorization.

103040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

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

The square root of 103040640 is about 10150.8935567269. The cubic root of 103040640 is about 468.8164577774.

Adding to 103040640 its reverse (46040301), we get a palindrome (149080941).

The spelling of 103040640 in words is "one hundred three million, forty thousand, six hundred forty".