Search a number
-
+
10069440 = 263517617
BaseRepresentation
bin100110011010…
…010111000000
3200221120200020
4212122113000
510034210230
6555453440
7151405653
oct46322700
920846606
1010069440
115758357
123457280
132117364
1414a189a
15d3d810
hex99a5c0

10069440 has 112 divisors (see below), whose sum is σ = 33905952. Its totient is φ = 2523136.

The previous prime is 10069427. The next prime is 10069441. The reversal of 10069440 is 4496001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10069440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069441) 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, 16012 + ... + 16628.

Almost surely, 210069440 is an apocalyptic number.

10069440 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 10069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952976).

10069440 is an abundant number, since it is smaller than the sum of its proper divisors (23836512).

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

10069440 is a wasteful number, since it uses less digits than its factorization.

10069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10069440 is about 3173.2380938089. The cubic root of 10069440 is about 215.9409989743.

The spelling of 10069440 in words is "ten million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 617 680 816 960 1020 1088 1234 1360 1632 1851 2040 2468 2720 3085 3264 3702 4080 4936 5440 6170 7404 8160 9255 9872 10489 12340 14808 16320 18510 19744 20978 24680 29616 31467 37020 39488 41956 49360 52445 59232 62934 74040 83912 98720 104890 118464 125868 148080 157335 167824 197440 209780 251736 296160 314670 335648 419560 503472 592320 629340 671296 839120 1006944 1258680 1678240 2013888 2517360 3356480 5034720 10069440