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143201952 = 25331071549
BaseRepresentation
bin10001000100100…
…01011010100000
3100222110102011000
420202101122200
5243124430302
622113152000
73356124255
oct1042213240
9328412130
10143201952
1173919823
123bb5b600
132388b8aa
141503942c
15c88a31c
hex88916a0

143201952 has 96 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 47257344.

The previous prime is 143201923. The next prime is 143201987. The reversal of 143201952 is 259102341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1432019522 = 41013598113220608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 91674 + ... + 93222.

It is an arithmetic number, because the mean of its divisors is an integer number (4394250).

Almost surely, 2143201952 is an apocalyptic number.

143201952 is a gapful number since it is divisible by the number (12) 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 143201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

143201952 is an abundant number, since it is smaller than the sum of its proper divisors (278646048).

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

143201952 is a wasteful number, since it uses less digits than its factorization.

143201952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 143201952 is about 11966.7018012483. The cubic root of 143201952 is about 523.1782079973.

The spelling of 143201952 in words is "one hundred forty-three million, two hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1549 1712 1926 2568 2889 3098 3424 3852 4647 5136 5778 6196 7704 9294 10272 11556 12392 13941 15408 18588 23112 24784 27882 30816 37176 41823 46224 49568 55764 74352 83646 92448 111528 148704 165743 167292 223056 331486 334584 446112 497229 662972 669168 994458 1325944 1338336 1491687 1988916 2651888 2983374 3977832 4475061 5303776 5966748 7955664 8950122 11933496 15911328 17900244 23866992 35800488 47733984 71600976 143201952