[go: up one dir, main page]

Search a number
-
+
30976770 = 23511374359
BaseRepresentation
bin111011000101…
…0101100000010
32011021210010210
41312022230002
530412224040
63023534550
7524204166
oct166125402
964253123
1030976770
1116538340
12a45a456
136557766
144184ca6
152abd480
hex1d8ab02

30976770 has 128 divisors (see below), whose sum is σ = 86676480. Its totient is φ = 7015680.

The previous prime is 30976753. The next prime is 30976787. The reversal of 30976770 is 7767903.

It is an interprime number because it is at equal distance from previous prime (30976753) and next prime (30976787).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525001 + ... + 525059.

It is an arithmetic number, because the mean of its divisors is an integer number (677160).

Almost surely, 230976770 is an apocalyptic number.

30976770 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 30976770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43338240).

30976770 is an abundant number, since it is smaller than the sum of its proper divisors (55699710).

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

30976770 is a wasteful number, since it uses less digits than its factorization.

30976770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 55566, while the sum is 39.

The square root of 30976770 is about 5565.6778562903. The cubic root of 30976770 is about 314.0595786714.

The spelling of 30976770 in words is "thirty million, nine hundred seventy-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 43 55 59 66 74 86 110 111 118 129 165 177 185 215 222 258 295 330 354 370 407 430 473 555 590 645 649 814 885 946 1110 1221 1290 1298 1419 1591 1770 1947 2035 2183 2365 2442 2537 2838 3182 3245 3894 4070 4366 4730 4773 5074 6105 6490 6549 7095 7611 7955 9546 9735 10915 12210 12685 13098 14190 15222 15910 17501 19470 21830 23865 24013 25370 27907 32745 35002 38055 47730 48026 52503 55814 65490 72039 76110 83721 87505 93869 105006 120065 139535 144078 167442 175010 187738 240130 262515 279070 281607 360195 418605 469345 525030 563214 720390 837210 938690 1032559 1408035 2065118 2816070 3097677 5162795 6195354 10325590 15488385 30976770