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30006396 = 22337192089
BaseRepresentation
bin111001001110…
…1110001111100
32002110111001000
41302131301330
530140201041
62551050300
7513023130
oct162356174
962414030
1030006396
1115a35282
12a070990
1362a7b84
143db13c0
15297abb6
hex1c9dc7c

30006396 has 96 divisors (see below), whose sum is σ = 93632000. Its totient is φ = 8118144.

The previous prime is 30006391. The next prime is 30006401. The reversal of 30006396 is 69360003.

It is an interprime number because it is at equal distance from previous prime (30006391) and next prime (30006401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30006391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13320 + ... + 15408.

Almost surely, 230006396 is an apocalyptic number.

30006396 is a gapful number since it is divisible by the number (36) 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 30006396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816000).

30006396 is an abundant number, since it is smaller than the sum of its proper divisors (63625604).

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

30006396 is a wasteful number, since it uses less digits than its factorization.

30006396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30006396 is about 5477.8094161809. The cubic root of 30006396 is about 310.7453310919.

Adding to 30006396 its reverse (69360003), we get a palindrome (99366399).

The spelling of 30006396 in words is "thirty million, six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2089 2394 3591 4178 4788 6267 7182 8356 12534 14364 14623 18801 25068 29246 37602 39691 43869 56403 58492 75204 79382 87738 112806 119073 131607 158764 175476 225612 238146 263214 277837 357219 394821 476292 526428 555674 714438 789642 833511 1071657 1111348 1428876 1579284 1667022 2143314 2500533 3334044 4286628 5001066 7501599 10002132 15003198 30006396