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30729420 = 22325792161
BaseRepresentation
bin111010100111…
…0010011001100
32010211012211200
41311032103030
530331320140
63014345500
7522124101
oct165162314
963735750
1030729420
1116389517
12a35b290
13649bcb7
14411caa8
152a70030
hex1d4e4cc

30729420 has 72 divisors (see below), whose sum is σ = 94436160. Its totient is φ = 8087040.

The previous prime is 30729409. The next prime is 30729427. The reversal of 30729420 is 2492703.

It is not an unprimeable number, because it can be changed into a prime (30729427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13140 + ... + 15300.

Almost surely, 230729420 is an apocalyptic number.

30729420 is a gapful number since it is divisible by the number (30) 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 30729420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47218080).

30729420 is an abundant number, since it is smaller than the sum of its proper divisors (63706740).

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

30729420 is a wasteful number, since it uses less digits than its factorization.

30729420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30729420 is about 5543.4123065130. The cubic root of 30729420 is about 313.2214202209.

The spelling of 30729420 in words is "thirty million, seven hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2161 2370 2844 3555 4322 4740 6483 7110 8644 10805 12966 14220 19449 21610 25932 32415 38898 43220 64830 77796 97245 129660 170719 194490 341438 388980 512157 682876 853595 1024314 1536471 1707190 2048628 2560785 3072942 3414380 5121570 6145884 7682355 10243140 15364710 30729420