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30450920 = 23519103389
BaseRepresentation
bin111010000101…
…0010011101000
32010022001210212
41310022103220
530243412140
63004400252
7516554123
oct164122350
963261725
1030450920
1116209255
12a246088
1364022c6
1440893ba
152a17765
hex1d0a4e8

30450920 has 64 divisors (see below), whose sum is σ = 73008000. Its totient is φ = 11397888.

The previous prime is 30450913. The next prime is 30450949. The reversal of 30450920 is 2905403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78086 + ... + 78474.

It is an arithmetic number, because the mean of its divisors is an integer number (1140750).

Almost surely, 230450920 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 30450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36504000).

30450920 is an abundant number, since it is smaller than the sum of its proper divisors (42557080).

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

30450920 is a wasteful number, since it uses less digits than its factorization.

30450920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 30450920 is about 5518.2352251422. The cubic root of 30450920 is about 312.2723077402.

The spelling of 30450920 in words is "thirty million, four hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 190 206 380 389 412 515 760 778 824 1030 1556 1945 1957 2060 3112 3890 3914 4120 7391 7780 7828 9785 14782 15560 15656 19570 29564 36955 39140 40067 59128 73910 78280 80134 147820 160268 200335 295640 320536 400670 761273 801340 1522546 1602680 3045092 3806365 6090184 7612730 15225460 30450920