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146116656 = 24337211229
BaseRepresentation
bin10001011010110…
…01000000110000
3101011221111101000
420231121000300
5244401213111
622255442000
73422654040
oct1055310060
9334844330
10146116656
117552a674
1240b26300
132436c47a
1415597720
15cc63c56
hex8b59030

146116656 has 160 divisors (see below), whose sum is σ = 483699200. Its totient is φ = 41368320.

The previous prime is 146116643. The next prime is 146116657. The reversal of 146116656 is 656611641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146116656.

It is not an unprimeable number, because it can be changed into a prime (146116657) 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, 637950 + ... + 638178.

It is an arithmetic number, because the mean of its divisors is an integer number (3023120).

Almost surely, 2146116656 is an apocalyptic number.

146116656 is a gapful number since it is divisible by the number (16) 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 146116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241849600).

146116656 is an abundant number, since it is smaller than the sum of its proper divisors (337582544).

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

146116656 is a wasteful number, since it uses less digits than its factorization.

146116656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 146116656 is about 12087.8722693450. The cubic root of 146116656 is about 526.7039493627.

The spelling of 146116656 in words is "one hundred forty-six million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 211 216 229 252 336 378 422 432 458 504 633 687 756 844 916 1008 1266 1374 1477 1512 1603 1688 1832 1899 2061 2532 2748 2954 3024 3206 3376 3664 3798 4122 4431 4809 5064 5496 5697 5908 6183 6412 7596 8244 8862 9618 10128 10992 11394 11816 12366 12824 13293 14427 15192 16488 17724 19236 22788 23632 24732 25648 26586 28854 30384 32976 35448 38472 39879 43281 45576 48319 49464 53172 57708 70896 76944 79758 86562 91152 96638 98928 106344 115416 144957 159516 173124 193276 212688 230832 289914 319032 338233 346248 386552 434871 579828 638064 676466 692496 773104 869742 1014699 1159656 1304613 1352932 1739484 2029398 2319312 2609226 2705864 3044097 3478968 4058796 5218452 5411728 6088194 6957936 8117592 9132291 10436904 12176388 16235184 18264582 20873808 24352776 36529164 48705552 73058328 146116656