Search a number
-
+
10141440 = 283519139
BaseRepresentation
bin100110101011…
…111100000000
3201002020102220
4212223330000
510044011230
61001211040
7152125611
oct46537400
921066386
1010141440
1157a7461
123490a80
13214106a
1414bdc08
15d54d10
hex9abf00

10141440 has 144 divisors (see below), whose sum is σ = 34339200. Its totient is φ = 2543616.

The previous prime is 10141403. The next prime is 10141463. The reversal of 10141440 is 4414101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 72891 + ... + 73029.

Almost surely, 210141440 is an apocalyptic number.

10141440 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 10141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

10141440 is an abundant number, since it is smaller than the sum of its proper divisors (24197760).

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

10141440 is a wasteful number, since it uses less digits than its factorization.

10141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10141440 is about 3184.5627643367. The cubic root of 10141440 is about 216.4544615289.

Adding to 10141440 its reverse (4414101), we get a palindrome (14555541).

The spelling of 10141440 in words is "ten million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 139 152 160 190 192 228 240 256 278 285 304 320 380 384 417 456 480 556 570 608 640 695 760 768 834 912 960 1112 1140 1216 1280 1390 1520 1668 1824 1920 2085 2224 2280 2432 2641 2780 3040 3336 3648 3840 4170 4448 4560 4864 5282 5560 6080 6672 7296 7923 8340 8896 9120 10564 11120 12160 13205 13344 14592 15846 16680 17792 18240 21128 22240 24320 26410 26688 31692 33360 35584 36480 39615 42256 44480 52820 53376 63384 66720 72960 79230 84512 88960 105640 106752 126768 133440 158460 169024 177920 211280 253536 266880 316920 338048 422560 507072 533760 633840 676096 845120 1014144 1267680 1690240 2028288 2535360 3380480 5070720 10141440