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15068430 = 23751353
BaseRepresentation
bin111001011110…
…110100001110
31001100120000000
4321132310032
512324142210
61254545130
7242036166
oct71366416
931316000
1015068430
118562153
1250681a6
133177840
1420035a6
1514c9ac0
hexe5ed0e

15068430 has 128 divisors (see below), whose sum is σ = 44634240. Its totient is φ = 3639168.

The previous prime is 15068419. The next prime is 15068453. The reversal of 15068430 is 3486051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 15068394 and 15068403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284284 + ... + 284336.

It is an arithmetic number, because the mean of its divisors is an integer number (348705).

Almost surely, 215068430 is an apocalyptic number.

15068430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15068430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22317120).

15068430 is an abundant number, since it is smaller than the sum of its proper divisors (29565810).

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

15068430 is an equidigital number, since it uses as much as digits as its factorization.

15068430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 15068430 is about 3881.8075686463. The cubic root of 15068430 is about 246.9956672299.

The spelling of 15068430 in words is "fifteen million, sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 81 90 106 117 130 135 159 162 195 234 243 265 270 318 351 390 405 477 486 530 585 689 702 729 795 810 954 1053 1170 1215 1378 1431 1458 1590 1755 2067 2106 2187 2385 2430 2862 3159 3445 3510 3645 4134 4293 4374 4770 5265 6201 6318 6890 7155 7290 8586 9477 10335 10530 10935 12402 12879 14310 15795 18603 18954 20670 21465 21870 25758 28431 31005 31590 37206 38637 42930 47385 55809 56862 62010 64395 77274 93015 94770 111618 115911 128790 142155 167427 186030 193185 231822 279045 284310 334854 386370 502281 558090 579555 837135 1004562 1159110 1506843 1674270 2511405 3013686 5022810 7534215 15068430