Search a number
-
+
30782940 = 22351393691
BaseRepresentation
bin111010101101…
…1010111011100
32010220221020220
41311123113130
530340023230
63015441340
7522436116
oct165332734
963827226
1030782940
1116415751
12a386250
1364ba476
1441343b6
152a80d10
hex1d5b5dc

30782940 has 48 divisors (see below), whose sum is σ = 86835840. Its totient is φ = 8147520.

The previous prime is 30782929. The next prime is 30782951. The reversal of 30782940 is 4928703.

It is an interprime number because it is at equal distance from previous prime (30782929) and next prime (30782951).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6495 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (1809080).

Almost surely, 230782940 is an apocalyptic number.

30782940 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 30782940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43417920).

30782940 is an abundant number, since it is smaller than the sum of its proper divisors (56052900).

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

30782940 is a wasteful number, since it uses less digits than its factorization.

30782940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 30782940 is about 5548.2375579998. The cubic root of 30782940 is about 313.4031558094.

The spelling of 30782940 in words is "thirty million, seven hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 3691 4170 7382 8340 11073 14764 18455 22146 36910 44292 55365 73820 110730 221460 513049 1026098 1539147 2052196 2565245 3078294 5130490 6156588 7695735 10260980 15391470 30782940