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10016720 = 245731577
BaseRepresentation
bin100110001101…
…011111010000
3200211220100122
4212031133100
510031013340
6554405412
7151066160
oct46153720
920756318
1010016720
11572178a
123430868
1320c936c
14148a5a0
15d2cdb5
hex98d7d0

10016720 has 80 divisors (see below), whose sum is σ = 27522048. Its totient is φ = 3317760.

The previous prime is 10016719. The next prime is 10016737. The reversal of 10016720 is 2761001.

It is a happy number.

10016720 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

10016720 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17072 + ... + 17648.

Almost surely, 210016720 is an apocalyptic number.

10016720 is a gapful number since it is divisible by the number (10) 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 10016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761024).

10016720 is an abundant number, since it is smaller than the sum of its proper divisors (17505328).

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

10016720 is a wasteful number, since it uses less digits than its factorization.

10016720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10016720 is about 3164.9202201635. The cubic root of 10016720 is about 215.5634759709.

Adding to 10016720 its reverse (2761001), we get a palindrome (12777721).

The spelling of 10016720 in words is "ten million, sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 577 620 868 1085 1154 1240 1736 2170 2308 2480 2885 3472 4039 4340 4616 5770 8078 8680 9232 11540 16156 17360 17887 20195 23080 32312 35774 40390 46160 64624 71548 80780 89435 125209 143096 161560 178870 250418 286192 323120 357740 500836 626045 715480 1001672 1252090 1430960 2003344 2504180 5008360 10016720