Search a number
-
+
10032242440 = 23511194129269
BaseRepresentation
bin10010101011111011…
…11101111100001000
3221220011102201102211
421111331331330020
5131021223224230
64335253434504
7503415440143
oct112575757410
927804381384
1010032242440
114288a37260
121b3b93ba34
13c3b59903c
146b255705a
153dab2b42a
hex255f7df08

10032242440 has 128 divisors (see below), whose sum is σ = 26553744000. Its totient is φ = 3371673600.

The previous prime is 10032242377. The next prime is 10032242447. The reversal of 10032242440 is 4424223001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10032242447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328126 + ... + 357394.

It is an arithmetic number, because the mean of its divisors is an integer number (207451125).

Almost surely, 210032242440 is an apocalyptic number.

10032242440 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 10032242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13276872000).

10032242440 is an abundant number, since it is smaller than the sum of its proper divisors (16521501560).

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

10032242440 is a wasteful number, since it uses less digits than its factorization.

10032242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29351 (or 29347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10032242440 its reverse (4424223001), we get a palindrome (14456465441).

The spelling of 10032242440 in words is "ten billion, thirty-two million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 41 44 55 76 82 88 95 110 152 164 190 205 209 220 328 380 410 418 440 451 760 779 820 836 902 1045 1558 1640 1672 1804 2090 2255 3116 3608 3895 4180 4510 6232 7790 8360 8569 9020 15580 17138 18040 29269 31160 34276 42845 58538 68552 85690 117076 146345 171380 234152 292690 321959 342760 556111 585380 643918 1112222 1170760 1200029 1287836 1609795 2224444 2400058 2575672 2780555 3219590 4448888 4800116 5561110 6000145 6117221 6439180 9600232 11122220 12000290 12234442 12878360 13200319 22244440 22800551 24000580 24468884 26400638 30586105 45601102 48001160 48937768 52801276 61172210 66001595 91202204 105602552 114002755 122344420 132003190 182404408 228005510 244688840 250806061 264006380 456011020 501612122 528012760 912022040 1003224244 1254030305 2006448488 2508060610 5016121220 10032242440