Search a number
-
+
30670773720 = 23351740137493
BaseRepresentation
bin11100100100000111…
…101101110111011000
32221011111110201221020
4130210013231313120
51000303204224340
622031233042440
72134023163236
oct344407556730
987144421836
1030670773720
1112009941284
125b3b6b6420
132b7a340722
1416ad575956
15be79769d0
hex7241eddd8

30670773720 has 128 divisors (see below), whose sum is σ = 97670370240. Its totient is φ = 7678361600.

The previous prime is 30670773713. The next prime is 30670773733. The reversal of 30670773720 is 2737707603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799294 + ... + 836786.

Almost surely, 230670773720 is an apocalyptic number.

30670773720 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 30670773720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48835185120).

30670773720 is an abundant number, since it is smaller than the sum of its proper divisors (66999596520).

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

30670773720 is a wasteful number, since it uses less digits than its factorization.

30670773720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37925 (or 37921 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 42.

The spelling of 30670773720 in words is "thirty billion, six hundred seventy million, seven hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 401 408 510 680 802 1020 1203 1604 2005 2040 2406 3208 4010 4812 6015 6817 8020 9624 12030 13634 16040 20451 24060 27268 34085 37493 40902 48120 54536 68170 74986 81804 102255 112479 136340 149972 163608 187465 204510 224958 272680 299944 374930 409020 449916 562395 637381 749860 818040 899832 1124790 1274762 1499720 1912143 2249580 2549524 3186905 3824286 4499160 5099048 6373810 7648572 9560715 12747620 15034693 15297144 19121430 25495240 30069386 38242860 45104079 60138772 75173465 76485720 90208158 120277544 150346930 180416316 225520395 255589781 300693860 360832632 451040790 511179562 601387720 766769343 902081580 1022359124 1277948905 1533538686 1804163160 2044718248 2555897810 3067077372 3833846715 5111795620 6134154744 7667693430 10223591240 15335386860 30670773720