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1061752272 = 2437171511231
BaseRepresentation
bin111111010010010…
…000110111010000
32201222212121022020
4333102100313100
54133302033042
6253205011440
735211513450
oct7722206720
92658777266
101061752272
114a5371219
122576b3b80
1313bc7b8a9
14a1023d60
156332d3ec
hex3f490dd0

1061752272 has 160 divisors (see below), whose sum is σ = 3343785984. Its totient is φ = 283392000.

The previous prime is 1061752271. The next prime is 1061752291. The reversal of 1061752272 is 2722571601.

1061752272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10617522722 = 2254635774194323968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061752271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861897 + ... + 863127.

Almost surely, 21061752272 is an apocalyptic number.

1061752272 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 1061752272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671892992).

1061752272 is an abundant number, since it is smaller than the sum of its proper divisors (2282033712).

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

1061752272 is a wasteful number, since it uses less digits than its factorization.

1061752272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1061752272 is about 32584.5403834395. The cubic root of 1061752272 is about 1020.1743492816.

The spelling of 1061752272 in words is "one billion, sixty-one million, seven hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 151 168 204 238 272 302 336 357 408 453 476 604 714 816 906 952 1057 1208 1231 1428 1812 1904 2114 2416 2462 2567 2856 3171 3624 3693 4228 4924 5134 5712 6342 7248 7386 7701 8456 8617 9848 10268 12684 14772 15402 16912 17234 17969 19696 20536 20927 25368 25851 29544 30804 34468 35938 41072 41854 50736 51702 53907 59088 61608 62781 68936 71876 83708 103404 107814 123216 125562 137872 143752 146489 167416 185881 206808 215628 251124 287504 292978 334832 371762 413616 431256 439467 502248 557643 585956 743524 862512 878934 1004496 1115286 1171912 1301167 1487048 1757868 2230572 2343824 2602334 2974096 3159977 3515736 3903501 4461144 5204668 6319954 7031472 7807002 8922288 9479931 10409336 12639908 15614004 18959862 20818672 22119839 25279816 31228008 37919724 44239678 50559632 62456016 66359517 75839448 88479356 132719034 151678896 176958712 265438068 353917424 530876136 1061752272