Search a number
-
+
7490748160 = 28572573253
BaseRepresentation
bin1101111100111101…
…11011111100000000
3201100001011102201001
412332132323330000
5110320112420120
63235144421344
7353425210630
oct67636737400
921301142631
107490748160
1131a4371a65
121550777854
13924b9bb7c
14510bc46c0
152dc955e0a
hex1be7bbf00

7490748160 has 144 divisors (see below), whose sum is σ = 20592040896. Its totient is φ = 2557476864.

The previous prime is 7490748151. The next prime is 7490748173. The reversal of 7490748160 is 618470947.

It is a super-2 number, since 2×74907481602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7490748160.

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, 2301094 + ... + 2304346.

It is an arithmetic number, because the mean of its divisors is an integer number (143000284).

Almost surely, 27490748160 is an apocalyptic number.

7490748160 is a gapful number since it is divisible by the number (70) 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 7490748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296020448).

7490748160 is an abundant number, since it is smaller than the sum of its proper divisors (13101292736).

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

7490748160 is a wasteful number, since it uses less digits than its factorization.

7490748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 7490748160 is about 86549.1083720682. The cubic root of 7490748160 is about 1956.6286065278.

The spelling of 7490748160 in words is "seven billion, four hundred ninety million, seven hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 257 280 320 448 514 560 640 896 1028 1120 1280 1285 1792 1799 2056 2240 2570 3253 3598 4112 4480 5140 6506 7196 8224 8960 8995 10280 13012 14392 16265 16448 17990 20560 22771 26024 28784 32530 32896 35980 41120 45542 52048 57568 65060 65792 71960 82240 91084 104096 113855 115136 130120 143920 164480 182168 208192 227710 230272 260240 287840 328960 364336 416384 455420 460544 520480 575680 728672 832768 836021 910840 1040960 1151360 1457344 1672042 1821680 2081920 2302720 2914688 3344084 3643360 4163840 4180105 5829376 5852147 6688168 7286720 8360210 11704294 13376336 14573440 16720420 23408588 26752672 29146880 29260735 33440840 46817176 53505344 58521470 66881680 93634352 107010688 117042940 133763360 187268704 214021376 234085880 267526720 374537408 468171760 535053440 749074816 936343520 1070106880 1498149632 1872687040 3745374080 7490748160