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146550144 = 2731331947
BaseRepresentation
bin10001011110000…
…10110110000000
3101012202112000010
420233002312000
5300004101034
622313024520
73426440616
oct1057026600
9335675003
10146550144
11757a6324
12410b5140
1324491880
141566b6b6
15ccec3e9
hex8bc2d80

146550144 has 128 divisors (see below), whose sum is σ = 433198080. Its totient is φ = 43591680.

The previous prime is 146550143. The next prime is 146550161. The reversal of 146550144 is 441055641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146550143) by changing a digit.

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, 154279 + ... + 155225.

It is an arithmetic number, because the mean of its divisors is an integer number (3384360).

Almost surely, 2146550144 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 146550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216599040).

146550144 is an abundant number, since it is smaller than the sum of its proper divisors (286647936).

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

146550144 is a wasteful number, since it uses less digits than its factorization.

146550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 146550144 is about 12105.7896892355. The cubic root of 146550144 is about 527.2242971264.

The spelling of 146550144 in words is "one hundred forty-six million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 947 992 1209 1248 1488 1612 1664 1894 1984 2418 2496 2841 2976 3224 3788 3968 4836 4992 5682 5952 6448 7576 9672 11364 11904 12311 12896 15152 19344 22728 24622 25792 29357 30304 36933 38688 45456 49244 51584 58714 60608 73866 77376 88071 90912 98488 117428 121216 147732 154752 176142 181824 196976 234856 295464 352284 363648 381641 393952 469712 590928 704568 763282 787904 939424 1144923 1181856 1409136 1526564 1575808 1878848 2289846 2363712 2818272 3053128 3757696 4579692 4727424 5636544 6106256 9159384 11273088 12212512 18318768 24425024 36637536 48850048 73275072 146550144