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1061200272 = 243114874127
BaseRepresentation
bin111111010000001…
…010000110010000
32201221211120002210
4333100022012100
54133131402042
6253145112120
735204024226
oct7720120620
92657746083
101061200272
114a5024520
12257488640
1313bb17572
14a0d1cb16
156326ea9c
hex3f40a190

1061200272 has 80 divisors (see below), whose sum is σ = 2997522432. Its totient is φ = 320837760.

The previous prime is 1061200267. The next prime is 1061200303. The reversal of 1061200272 is 2720021601.

It is a super-2 number, since 2×10612002722 = 2252292034585747968, which contains 22 as substring.

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, 255073 + ... + 259199.

Almost surely, 21061200272 is an apocalyptic number.

1061200272 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 1061200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498761216).

1061200272 is an abundant number, since it is smaller than the sum of its proper divisors (1936322160).

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

1061200272 is a wasteful number, since it uses less digits than its factorization.

1061200272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1061200272 is about 32576.0690077855. The cubic root of 1061200272 is about 1019.9975240232.

Adding to 1061200272 its reverse (2720021601), we get a palindrome (3781221873).

The spelling of 1061200272 in words is "one billion, sixty-one million, two hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 487 528 974 1461 1948 2922 3896 4127 5357 5844 7792 8254 10714 11688 12381 16071 16508 21428 23376 24762 32142 33016 42856 45397 49524 64284 66032 85712 90794 99048 128568 136191 181588 198096 257136 272382 363176 544764 726352 1089528 2009849 2179056 4019698 6029547 8039396 12059094 16078792 22108339 24118188 32157584 44216678 48236376 66325017 88433356 96472752 132650034 176866712 265300068 353733424 530600136 1061200272