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8042720 = 255743167
BaseRepresentation
bin11110101011100011100000
3120010121112112
4132223203200
54024331340
6444214452
7125235110
oct36534340
916117475
108042720
1145a3684
12283a428
131887a0a
1410d5040
15a8d065
hex7ab8e0

8042720 has 96 divisors (see below), whose sum is σ = 22353408. Its totient is φ = 2677248.

The previous prime is 8042711. The next prime is 8042729. The reversal of 8042720 is 272408.

It is an interprime number because it is at equal distance from previous prime (8042711) and next prime (8042729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48077 + ... + 48243.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 28042720 is an apocalyptic number.

8042720 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 8042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176704).

8042720 is an abundant number, since it is smaller than the sum of its proper divisors (14310688).

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

8042720 is a wasteful number, since it uses less digits than its factorization.

8042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 8042720 is about 2835.9689702111. The cubic root of 8042720 is about 200.3553681933.

The spelling of 8042720 in words is "eight million, forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 167 172 215 224 280 301 334 344 430 560 602 668 688 835 860 1120 1169 1204 1336 1376 1505 1670 1720 2338 2408 2672 3010 3340 3440 4676 4816 5344 5845 6020 6680 6880 7181 9352 9632 11690 12040 13360 14362 18704 23380 24080 26720 28724 35905 37408 46760 48160 50267 57448 71810 93520 100534 114896 143620 187040 201068 229792 251335 287240 402136 502670 574480 804272 1005340 1148960 1608544 2010680 4021360 8042720