Search a number
-
+
7004745120 = 253531470749
BaseRepresentation
bin1101000011000001…
…11110110110100000
3200002011122220212110
412201200332312200
5103321203320440
63115023555320
7335404231302
oct64140766640
920064586773
107004745120
112a74aa575a
121435a5bb40
138782a79c9
144a6433972
152aee55080
hex1a183eda0

7004745120 has 96 divisors (see below), whose sum is σ = 22776768000. Its totient is φ = 1807672320.

The previous prime is 7004745113. The next prime is 7004745217. The reversal of 7004745120 is 215474007.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 220495 + ... + 250254.

It is an arithmetic number, because the mean of its divisors is an integer number (237258000).

Almost surely, 27004745120 is an apocalyptic number.

It is an amenable number.

7004745120 is an abundant number, since it is smaller than the sum of its proper divisors (15772022880).

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

7004745120 is a wasteful number, since it uses less digits than its factorization.

7004745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470798 (or 470790 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 7004745120 is about 83694.3553652216. The cubic root of 7004745120 is about 1913.3633274269.

The spelling of 7004745120 in words is "seven billion, four million, seven hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 470749 941498 1412247 1882996 2353745 2824494 3765992 4707490 5648988 7061235 7531984 9414980 11297976 14122470 14593219 15063968 18829960 22595952 28244940 29186438 37659920 43779657 45191904 56489880 58372876 72966095 75319840 87559314 112979760 116745752 145932190 175118628 218898285 225959520 233491504 291864380 350237256 437796570 466983008 583728760 700474512 875593140 1167457520 1400949024 1751186280 2334915040 3502372560 7004745120