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11070640 = 245753373
BaseRepresentation
bin101010001110…
…110010110000
3202211110001201
4222032302300
510313230030
61033140544
7163045630
oct52166260
922743051
1011070640
116281599
12385a754
1323a7c99
1416826c0
15e8a2ca
hexa8ecb0

11070640 has 80 divisors (see below), whose sum is σ = 30051648. Its totient is φ = 3714048.

The previous prime is 11070637. The next prime is 11070641. The reversal of 11070640 is 4607011.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11070641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29494 + ... + 29866.

Almost surely, 211070640 is an apocalyptic number.

11070640 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 11070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824).

11070640 is an abundant number, since it is smaller than the sum of its proper divisors (18981008).

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

11070640 is a wasteful number, since it uses less digits than its factorization.

11070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11070640 is about 3327.2571286271. The cubic root of 11070640 is about 222.8730601323.

Adding to 11070640 its reverse (4607011), we get a palindrome (15677651).

The spelling of 11070640 in words is "eleven million, seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 373 424 530 560 742 746 848 1060 1484 1492 1855 1865 2120 2611 2968 2984 3710 3730 4240 5222 5936 5968 7420 7460 10444 13055 14840 14920 19769 20888 26110 29680 29840 39538 41776 52220 79076 98845 104440 138383 158152 197690 208880 276766 316304 395380 553532 691915 790760 1107064 1383830 1581520 2214128 2767660 5535320 11070640