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30923840 = 265412357
BaseRepresentation
bin111010111110…
…1110001000000
32011012002112102
41311331301000
530404030330
63022445532
7523563653
oct165756100
964162472
1030923840
11165015a2
12a4338a8
13653963c
14416d89a
152aac945
hex1d7dc40

30923840 has 56 divisors (see below), whose sum is σ = 75465432. Its totient is φ = 12062720.

The previous prime is 30923813. The next prime is 30923863. The reversal of 30923840 is 4832903.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 30382144 = 736^2 + 5512^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11942 + ... + 14298.

It is an arithmetic number, because the mean of its divisors is an integer number (1347597).

Almost surely, 230923840 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 30923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37732716).

30923840 is an abundant number, since it is smaller than the sum of its proper divisors (44541592).

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

30923840 is a wasteful number, since it uses less digits than its factorization.

30923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 30923840 is about 5560.9207870640. The cubic root of 30923840 is about 313.8805988477.

The spelling of 30923840 in words is "thirty million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2357 2624 3280 4714 6560 9428 11785 13120 18856 23570 37712 47140 75424 94280 96637 150848 188560 193274 377120 386548 483185 754240 773096 966370 1546192 1932740 3092384 3865480 6184768 7730960 15461920 30923840