Search a number
-
+
30677280 = 253579809
BaseRepresentation
bin111010100000…
…1100100100000
32010201120022120
41311001210200
530323133110
63013304240
7521516064
oct165014440
963646276
1030677280
1116353327
12a335080
13648134a
144107aa4
152a5e870
hex1d41920

30677280 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 8067072.

The previous prime is 30677279. The next prime is 30677281. The reversal of 30677280 is 8277603.

It is an interprime number because it is at equal distance from previous prime (30677279) and next prime (30677281).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (30677281) 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, 37516 + ... + 38324.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 230677280 is an apocalyptic number.

30677280 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 30677280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

30677280 is an abundant number, since it is smaller than the sum of its proper divisors (67300320).

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

30677280 is a wasteful number, since it uses less digits than its factorization.

30677280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 30677280 is about 5538.7074304390. The cubic root of 30677280 is about 313.0441676045.

The spelling of 30677280 in words is "thirty million, six hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 809 948 1185 1264 1580 1618 1896 2370 2427 2528 3160 3236 3792 4045 4740 4854 6320 6472 7584 8090 9480 9708 12135 12640 12944 16180 18960 19416 24270 25888 32360 37920 38832 48540 63911 64720 77664 97080 127822 129440 191733 194160 255644 319555 383466 388320 511288 639110 766932 958665 1022576 1278220 1533864 1917330 2045152 2556440 3067728 3834660 5112880 6135456 7669320 10225760 15338640 30677280