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30730896 = 2432743709
BaseRepresentation
bin111010100111…
…0101010010000
32010211021212100
41311032222100
530331342041
63014400400
7522131310
oct165165220
963737770
1030730896
111638a639
12a360100
13649c881
14411d440
152a706b6
hex1d4ea90

30730896 has 120 divisors (see below), whose sum is σ = 100717760. Its totient is φ = 8563968.

The previous prime is 30730877. The next prime is 30730901. The reversal of 30730896 is 69803703.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30730896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42990 + ... + 43698.

Almost surely, 230730896 is an apocalyptic number.

30730896 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 30730896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50358880).

30730896 is an abundant number, since it is smaller than the sum of its proper divisors (69986864).

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

30730896 is a wasteful number, since it uses less digits than its factorization.

30730896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30730896 is about 5543.5454359101. The cubic root of 30730896 is about 313.2264350397.

It can be divided in two parts, 30730 and 896, that added together give a triangular number (31626 = T251).

The spelling of 30730896 in words is "thirty million, seven hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 709 774 903 1008 1032 1204 1418 1548 1806 2064 2127 2408 2709 2836 3096 3612 4254 4816 4963 5418 5672 6192 6381 7224 8508 9926 10836 11344 12762 14448 14889 17016 19852 21672 25524 29778 30487 34032 39704 43344 44667 51048 59556 60974 79408 89334 91461 102096 119112 121948 178668 182922 213409 238224 243896 274383 357336 365844 426818 487792 548766 640227 714672 731688 853636 1097532 1280454 1463376 1707272 1920681 2195064 2560908 3414544 3841362 4390128 5121816 7682724 10243632 15365448 30730896