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35138440 = 2356114401
BaseRepresentation
bin1000011000001…
…0101110001000
32110010012212201
42012002232020
532443412230
63253045544
7604446301
oct206025610
973105781
1035138440
1118920037
12b9268b4
137383a9c
1449497a8
1531415ca
hex2182b88

35138440 has 32 divisors (see below), whose sum is σ = 80363160. Its totient is φ = 13824000.

The previous prime is 35138431. The next prime is 35138449. The reversal of 35138440 is 4483153.

It is an interprime number because it is at equal distance from previous prime (35138431) and next prime (35138449).

It can be written as a sum of positive squares in 4 ways, for example, as 30272004 + 4866436 = 5502^2 + 2206^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35138399 and 35138408.

It is not an unprimeable number, because it can be changed into a prime (35138449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4761 + ... + 9640.

Almost surely, 235138440 is an apocalyptic number.

It is an amenable number.

35138440 is an abundant number, since it is smaller than the sum of its proper divisors (45224720).

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

35138440 is a wasteful number, since it uses less digits than its factorization.

35138440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14469 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 35138440 is about 5927.7685514871. The cubic root of 35138440 is about 327.5373459344.

The spelling of 35138440 in words is "thirty-five million, one hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 14401 28802 57604 72005 115208 144010 288020 576040 878461 1756922 3513844 4392305 7027688 8784610 17569220 35138440