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88271360 = 29529241
BaseRepresentation
bin1010100001011…
…10101000000000
320011002122112122
411100232220000
5140044140420
612431543412
72121202622
oct520565000
9204078478
1088271360
1145910641
122568ab68
1315398198
14ba1ac12
157b39725
hex542ea00

88271360 has 120 divisors (see below), whose sum is σ = 224540316. Its totient is φ = 33259520.

The previous prime is 88271269. The next prime is 88271363. The reversal of 88271360 is 6317288.

It can be written as a sum of positive squares in 6 ways, for example, as 17172736 + 71098624 = 4144^2 + 8432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 88271360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88271363) 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, 2152940 + ... + 2152980.

Almost surely, 288271360 is an apocalyptic number.

88271360 is a gapful number since it is divisible by the number (80) 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 88271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112270158).

88271360 is an abundant number, since it is smaller than the sum of its proper divisors (136268956).

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

88271360 is an equidigital number, since it uses as much as digits as its factorization.

88271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 88271360 is about 9395.2839233309. The cubic root of 88271360 is about 445.2527453668.

The spelling of 88271360 in words is "eighty-eight million, two hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 64 80 82 116 128 145 160 164 205 232 256 290 320 328 410 464 512 580 640 656 820 841 928 1160 1189 1280 1312 1640 1682 1856 2320 2378 2560 2624 3280 3364 3712 4205 4640 4756 5248 5945 6560 6728 7424 8410 9280 9512 10496 11890 13120 13456 14848 16820 18560 19024 20992 23780 26240 26912 33640 34481 37120 38048 47560 52480 53824 67280 68962 74240 76096 95120 104960 107648 134560 137924 152192 172405 190240 215296 269120 275848 304384 344810 380480 430592 538240 551696 608768 689620 760960 1076480 1103392 1379240 1521920 2152960 2206784 2758480 3043840 4413568 5516960 8827136 11033920 17654272 22067840 44135680 88271360