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30475920 = 2435235521
BaseRepresentation
bin111010001000…
…0011010010000
32010100100002210
41310100122100
530300212140
63005112120
7520020036
oct164203220
963310083
1030475920
1116226012
12a258640
1364107b7
144094556
152a1ed80
hex1d10690

30475920 has 80 divisors (see below), whose sum is σ = 98600832. Its totient is φ = 7772160.

The previous prime is 30475903. The next prime is 30475927. The reversal of 30475920 is 2957403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30475927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760 + ... + 8280.

Almost surely, 230475920 is an apocalyptic number.

30475920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 5520×5521.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49300416).

30475920 is an abundant number, since it is smaller than the sum of its proper divisors (68124912).

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

30475920 is a wasteful number, since it uses less digits than its factorization.

30475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 30475920 is about 5520.4999773571. The cubic root of 30475920 is about 312.3577421838.

The spelling of 30475920 in words is "thirty million, four hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 5521 11042 16563 22084 27605 33126 44168 55210 66252 82815 88336 110420 126983 132504 165630 220840 253966 265008 331260 380949 441680 507932 634915 662520 761898 1015864 1269830 1325040 1523796 1904745 2031728 2539660 3047592 3809490 5079320 6095184 7618980 10158640 15237960 30475920