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30725136 = 2433135471
BaseRepresentation
bin111010100110…
…1010000010000
32010210222222000
41311031100100
530331201021
63014314000
7522105441
oct165152020
963728860
1030725136
1116386282
12a358900
13649a070
14411b2c8
152a6db26
hex1d4d410

30725136 has 80 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 9452160.

The previous prime is 30725111. The next prime is 30725153. The reversal of 30725136 is 63152703.

It is a happy number.

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

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, 2881 + ... + 8351.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 230725136 is an apocalyptic number.

30725136 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 30725136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

30725136 is an abundant number, since it is smaller than the sum of its proper divisors (64268784).

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

30725136 is a wasteful number, since it uses less digits than its factorization.

30725136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 30725136 is about 5543.0258884476. The cubic root of 30725136 is about 313.2068641058.

Adding to 30725136 its reverse (63152703), we get a palindrome (93877839).

The spelling of 30725136 in words is "thirty million, seven hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5471 5616 10942 16413 21884 32826 43768 49239 65652 71123 87536 98478 131304 142246 147717 196956 213369 262608 284492 295434 393912 426738 568984 590868 640107 787824 853476 1137968 1181736 1280214 1706952 1920321 2363472 2560428 3413904 3840642 5120856 7681284 10241712 15362568 30725136