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10014660 = 22325234159
BaseRepresentation
bin100110001100…
…111111000100
3200211210112100
4212030333010
510030432120
6554352100
7151060155
oct46147704
920753470
1010014660
115720187
12342b630
1320c8446
14148992c
15d2c490
hex98cfc4

10014660 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2449920.

The previous prime is 10014659. The next prime is 10014661. The reversal of 10014660 is 6641001.

10014660 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 660 = 666.

10014660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10014659) and next prime (10014661).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10014661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169711 + ... + 169769.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 210014660 is an apocalyptic number.

10014660 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 10014660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10014660 is an abundant number, since it is smaller than the sum of its proper divisors (23007420).

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

10014660 is a wasteful number, since it uses less digits than its factorization.

10014660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10014660 is about 3164.5947607869. The cubic root of 10014660 is about 215.5486976401.

Adding to 10014660 its reverse (6641001), we get a palindrome (16655661).

The spelling of 10014660 in words is "ten million, fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 41 45 46 59 60 69 82 90 92 115 118 123 138 164 177 180 205 207 230 236 246 276 295 345 354 369 410 414 460 492 531 590 615 690 708 738 820 828 885 943 1035 1062 1180 1230 1357 1380 1476 1770 1845 1886 2070 2124 2419 2460 2655 2714 2829 3540 3690 3772 4071 4140 4715 4838 5310 5428 5658 6785 7257 7380 8142 8487 9430 9676 10620 11316 12095 12213 13570 14145 14514 16284 16974 18860 20355 21771 24190 24426 27140 28290 29028 33948 36285 40710 42435 43542 48380 48852 55637 56580 61065 72570 81420 84870 87084 108855 111274 122130 145140 166911 169740 217710 222548 244260 278185 333822 435420 500733 556370 667644 834555 1001466 1112740 1669110 2002932 2503665 3338220 5007330 10014660