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88094720 = 211571229
BaseRepresentation
bin1010100000000…
…11100000000000
320010202200020102
411100003200000
5140023012340
612424101532
72116535630
oct520034000
9203680212
1088094720
11457aa95a
12256048a8
131533596c
14b9b26c0
157b02215
hex5403800

88094720 has 96 divisors (see below), whose sum is σ = 241768800. Its totient is φ = 30179328.

The previous prime is 88094719. The next prime is 88094723. The reversal of 88094720 is 2749088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88094723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71066 + ... + 72294.

It is an arithmetic number, because the mean of its divisors is an integer number (2518425).

Almost surely, 288094720 is an apocalyptic number.

88094720 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 88094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884400).

88094720 is an abundant number, since it is smaller than the sum of its proper divisors (153674080).

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

88094720 is a wasteful number, since it uses less digits than its factorization.

88094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 88094720 is about 9385.8787548103. The cubic root of 88094720 is about 444.9555483099.

The spelling of 88094720 in words is "eighty-eight million, ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1229 1280 1792 2048 2240 2458 2560 3584 4480 4916 5120 6145 7168 8603 8960 9832 10240 12290 14336 17206 17920 19664 24580 34412 35840 39328 43015 49160 68824 71680 78656 86030 98320 137648 157312 172060 196640 275296 314624 344120 393280 550592 629248 688240 786560 1101184 1258496 1376480 1573120 2202368 2516992 2752960 3146240 4404736 5505920 6292480 8809472 11011840 12584960 17618944 22023680 44047360 88094720