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272093696 = 29731279
BaseRepresentation
bin10000001101111…
…101001000000000
3200221222210101022
4100031331020000
51024123444241
642555525012
76512521040
oct2015751000
9627883338
10272093696
1112a654026
1277159768
13444a9ab4
14281cb720
1518d4a54b
hex1037d200

272093696 has 120 divisors (see below), whose sum is σ = 650136960. Its totient is φ = 111421440.

The previous prime is 272093693. The next prime is 272093707. The reversal of 272093696 is 696390272.

It is a super-3 number, since 3×2720936963 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (272093693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444185 + ... + 3444263.

It is an arithmetic number, because the mean of its divisors is an integer number (5417808).

Almost surely, 2272093696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325068480).

272093696 is an abundant number, since it is smaller than the sum of its proper divisors (378043264).

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

272093696 is an frugal number, since it uses more digits than its factorization.

272093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 272093696 is about 16495.2628351294. The cubic root of 272093696 is about 647.9967484468.

The spelling of 272093696 in words is "two hundred seventy-two million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 79 112 124 128 158 217 224 248 256 316 434 448 496 512 553 632 868 896 961 992 1106 1264 1736 1792 1922 1984 2212 2449 2528 3472 3584 3844 3968 4424 4898 5056 6727 6944 7688 7936 8848 9796 10112 13454 13888 15376 15872 17143 17696 19592 20224 26908 27776 30752 34286 35392 39184 40448 53816 55552 61504 68572 70784 75919 78368 107632 111104 123008 137144 141568 151838 156736 215264 246016 274288 283136 303676 313472 430528 492032 531433 548576 607352 626944 861056 1062866 1097152 1214704 1253888 1722112 2125732 2194304 2429408 3444224 4251464 4388608 4858816 8502928 8777216 9717632 17005856 19435264 34011712 38870528 68023424 136046848 272093696