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88096140 = 223351114831
BaseRepresentation
bin1010100000000…
…11110110001100
320010202202012000
411100003312030
5140023034030
612424112300
72116543026
oct520036614
9203682160
1088096140
1145800a30
1225605690
13153364c2
14b9b3016
157b02860
hex5403d8c

88096140 has 96 divisors (see below), whose sum is σ = 299013120. Its totient is φ = 21355200.

The previous prime is 88096133. The next prime is 88096147. The reversal of 88096140 is 4169088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88096133) and next prime (88096147).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88096095 and 88096104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88096147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (3114720).

Almost surely, 288096140 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 88096140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

88096140 is an abundant number, since it is smaller than the sum of its proper divisors (210916980).

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

88096140 is a wasteful number, since it uses less digits than its factorization.

88096140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14860 (or 14852 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88096140 is about 9385.9544000597. The cubic root of 88096140 is about 444.9579390452.

It can be divided in two parts, 880 and 96140, that added together give a triangular number (97020 = T440).

The spelling of 88096140 in words is "eighty-eight million, ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 14831 29662 44493 59324 74155 88986 133479 148310 163141 177972 222465 266958 296620 326282 400437 444930 489423 533916 652564 667395 800874 815705 889860 978846 1334790 1468269 1601748 1631410 1957692 2002185 2447115 2669580 2936538 3262820 4004370 4404807 4894230 5873076 7341345 8008740 8809614 9788460 14682690 17619228 22024035 29365380 44048070 88096140