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272144120 = 23529283829
BaseRepresentation
bin10000001110001…
…001011011111000
3200222002100112212
4100032021123320
51024132102440
643000554252
76513121043
oct2016113370
9628070485
10272144120
1112a6889a6
1277182988
13444c6a31
1428201c5a
1518d5a465
hex103896f8

272144120 has 64 divisors (see below), whose sum is σ = 636444000. Its totient is φ = 104606208.

The previous prime is 272144113. The next prime is 272144137. The reversal of 272144120 is 21441272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327866 + ... + 328694.

Almost surely, 2272144120 is an apocalyptic number.

272144120 is a gapful number since it is divisible by the number (20) 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 272144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318222000).

272144120 is an abundant number, since it is smaller than the sum of its proper divisors (364299880).

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

272144120 is a wasteful number, since it uses less digits than its factorization.

272144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 272144120 is about 16496.7912031401. The cubic root of 272144120 is about 648.0367745730.

Adding to 272144120 its reverse (21441272), we get a palindrome (293585392).

The spelling of 272144120 in words is "two hundred seventy-two million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 283 290 566 580 829 1132 1160 1415 1658 2264 2830 3316 4145 5660 6632 8207 8290 11320 16414 16580 24041 32828 33160 41035 48082 65656 82070 96164 120205 164140 192328 234607 240410 328280 469214 480820 938428 961640 1173035 1876856 2346070 4692140 6803603 9384280 13607206 27214412 34018015 54428824 68036030 136072060 272144120