Search a number
-
+
30738750 = 235471171
BaseRepresentation
bin111010101000…
…0100100111110
32010211200122020
41311100210332
530332120000
63014501010
7522163230
oct165204476
963750566
1030738750
1116395529
12a364766
1364a3313
144122250
152a72ba0
hex1d5093e

30738750 has 80 divisors (see below), whose sum is σ = 87871872. Its totient is φ = 7020000.

The previous prime is 30738739. The next prime is 30738761. The reversal of 30738750 is 5783703.

It is an interprime number because it is at equal distance from previous prime (30738739) and next prime (30738761).

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 25665 + ... + 26835.

Almost surely, 230738750 is an apocalyptic number.

30738750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30738750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935936).

30738750 is an abundant number, since it is smaller than the sum of its proper divisors (57133122).

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

30738750 is a wasteful number, since it uses less digits than its factorization.

30738750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 30738750 is about 5544.2537820702. The cubic root of 30738750 is about 313.2531168832.

The spelling of 30738750 in words is "thirty million, seven hundred thirty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 625 750 875 1050 1171 1250 1750 1875 2342 2625 3513 3750 4375 5250 5855 7026 8197 8750 11710 13125 16394 17565 24591 26250 29275 35130 40985 49182 58550 81970 87825 122955 146375 175650 204925 245910 292750 409850 439125 614775 731875 878250 1024625 1229550 1463750 2049250 2195625 3073875 4391250 5123125 6147750 10246250 15369375 30738750