Search a number
-
+
7129408 = 2611131941
BaseRepresentation
bin11011001100100101000000
3111102012201011
4123030211000
53311120113
6412450304
7114412306
oct33144500
914365634
107129408
11402a480
122479994
1316280b0
14d38276
1595c63d
hex6cc940

7129408 has 112 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 2764800.

The previous prime is 7129387. The next prime is 7129417. The reversal of 7129408 is 8049217.

It is a self number, because there is not a number n which added to its sum of digits gives 7129408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173868 + ... + 173908.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 27129408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

7129408 is an abundant number, since it is smaller than the sum of its proper divisors (10792832).

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

7129408 is a wasteful number, since it uses less digits than its factorization.

7129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 7129408 is about 2670.0951293915. The cubic root of 7129408 is about 192.4647307061.

The spelling of 7129408 in words is "seven million, one hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 41 44 52 64 76 82 88 104 143 152 164 176 208 209 247 286 304 328 352 416 418 451 494 533 572 608 656 704 779 832 836 902 988 1066 1144 1216 1312 1558 1672 1804 1976 2132 2288 2624 2717 3116 3344 3608 3952 4264 4576 5434 5863 6232 6688 7216 7904 8528 8569 9152 10127 10868 11726 12464 13376 14432 15808 17056 17138 20254 21736 23452 24928 28864 34112 34276 40508 43472 46904 49856 68552 81016 86944 93808 111397 137104 162032 173888 187616 222794 274208 324064 375232 445588 548416 648128 891176 1782352 3564704 7129408