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10215440 = 245149857
BaseRepresentation
bin100110111110…
…000000010000
3201012222221122
4212332000100
510103343230
61002541412
7152554424
oct46760020
921188848
1010215440
115848014
123507868
132168951
1414dcb84
15d6bbe5
hex9be010

10215440 has 40 divisors (see below), whose sum is σ = 23938200. Its totient is φ = 4054016.

The previous prime is 10215433. The next prime is 10215463. The reversal of 10215440 is 4451201.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 8952064 = 1124^2 + 2992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11492 + ... + 12348.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 210215440 is an apocalyptic number.

10215440 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 10215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969100).

10215440 is an abundant number, since it is smaller than the sum of its proper divisors (13722760).

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

10215440 is a wasteful number, since it uses less digits than its factorization.

10215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 10215440 is about 3196.1601962355. The cubic root of 10215440 is about 216.9796607183.

Adding to 10215440 its reverse (4451201), we get a palindrome (14666641).

The spelling of 10215440 in words is "ten million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 857 1192 1490 1714 2384 2980 3428 4285 5960 6856 8570 11920 13712 17140 34280 68560 127693 255386 510772 638465 1021544 1276930 2043088 2553860 5107720 10215440