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146721636 = 22323124241
BaseRepresentation
bin10001011111011…
…00101101100100
3101020002020020200
420233230231210
5300030043021
622320430500
73431053605
oct1057545544
9336066220
10146721636
1175903156
1241178430
1324521949
14156b3dac
15cd33126
hex8becb64

146721636 has 54 divisors (see below), whose sum is σ = 383319846. Its totient is φ = 47318400.

The previous prime is 146721599. The next prime is 146721647. The reversal of 146721636 is 636127641.

It is a happy number.

146721636 is a `hidden beast` number, since 14 + 6 + 7 + 2 + 1 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146168100 + 553536 = 12090^2 + 744^2 .

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 146721636.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32476 + ... + 36716.

Almost surely, 2146721636 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 146721636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191659923).

146721636 is an abundant number, since it is smaller than the sum of its proper divisors (236598210).

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

146721636 is a wasteful number, since it uses less digits than its factorization.

146721636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4277 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 146721636 is about 12112.8706754427. The cubic root of 146721636 is about 527.4298684120.

The spelling of 146721636 in words is "one hundred forty-six million, seven hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 4241 5766 8482 8649 11532 12723 16964 17298 25446 34596 38169 50892 76338 131471 152676 262942 394413 525884 788826 1183239 1577652 2366478 4075601 4732956 8151202 12226803 16302404 24453606 36680409 48907212 73360818 146721636