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30726828 = 223211312503
BaseRepresentation
bin111010100110…
…1101010101100
32010211002021200
41311031222230
530331224303
63014325500
7522113406
oct165155254
963732250
1030726828
1116387580
12a359890
13649aa72
14411bb76
152a6e3a3
hex1d4daac

30726828 has 72 divisors (see below), whose sum is σ = 87499776. Its totient is φ = 9007200.

The previous prime is 30726823. The next prime is 30726833. The reversal of 30726828 is 82862703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30726823) and next prime (30726833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30726792 and 30726801.

It is not an unprimeable number, because it can be changed into a prime (30726821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11025 + ... + 13527.

Almost surely, 230726828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30726828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43749888).

30726828 is an abundant number, since it is smaller than the sum of its proper divisors (56772948).

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

30726828 is a wasteful number, since it uses less digits than its factorization.

30726828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30726828 is about 5543.1785105659. The cubic root of 30726828 is about 313.2126133213.

The spelling of 30726828 in words is "thirty million, seven hundred twenty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 2503 3069 4092 5006 6138 7509 10012 12276 15018 22527 27533 30036 45054 55066 77593 82599 90108 110132 155186 165198 232779 247797 310372 330396 465558 495594 698337 853523 931116 991188 1396674 1707046 2560569 2793348 3414092 5121138 7681707 10242276 15363414 30726828