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147126200 = 23521371797
BaseRepresentation
bin10001100010011…
…11011110111000
3101020211210012112
420301033132320
5300131014300
622333231452
73434360234
oct1061173670
9336753175
10147126200
117605a101
1241332588
1324633b30
141577b5c4
15cdb2e35
hex8c4f7b8

147126200 has 96 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 53491200.

The previous prime is 147126197. The next prime is 147126209. The reversal of 147126200 is 2621741.

It is a super-2 number, since 2×1471262002 = 43292237452880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147126209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184202 + ... + 184998.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2147126200 is an apocalyptic number.

147126200 is a gapful number since it is divisible by the number (10) 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 147126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

147126200 is an abundant number, since it is smaller than the sum of its proper divisors (226912360).

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

147126200 is a wasteful number, since it uses less digits than its factorization.

147126200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 147126200 is about 12129.5589367462. The cubic root of 147126200 is about 527.9141944280.

Adding to 147126200 its reverse (2621741), we get a palindrome (149747941).

The spelling of 147126200 in words is "one hundred forty-seven million, one hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 130 142 200 260 284 325 355 520 568 650 710 797 923 1300 1420 1594 1775 1846 2600 2840 3188 3550 3692 3985 4615 6376 7100 7384 7970 9230 10361 14200 15940 18460 19925 20722 23075 31880 36920 39850 41444 46150 51805 56587 79700 82888 92300 103610 113174 159400 184600 207220 226348 259025 282935 414440 452696 518050 565870 735631 1036100 1131740 1414675 1471262 2072200 2263480 2829350 2942524 3678155 5658700 5885048 7356310 11317400 14712620 18390775 29425240 36781550 73563100 147126200