Search a number
-
+
6149487360 = 28353151659
BaseRepresentation
bin1011011101000100…
…11011101100000000
3120212120100022210010
411232202123230000
5100043232043420
62454112504520
7305250531402
oct55642335400
916776308703
106149487360
112676252965
12123754b140
13770048523
14424a02b72
1525ed154e0
hex16e89bb00

6149487360 has 144 divisors (see below), whose sum is σ = 20273863680. Its totient is φ = 1586933760.

The previous prime is 6149487359. The next prime is 6149487371. The reversal of 6149487360 is 637849416.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 93211 + ... + 144869.

It is an arithmetic number, because the mean of its divisors is an integer number (140790720).

Almost surely, 26149487360 is an apocalyptic number.

6149487360 is a gapful number since it is divisible by the number (60) 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 6149487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136931840).

6149487360 is an abundant number, since it is smaller than the sum of its proper divisors (14124376320).

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

6149487360 is a wasteful number, since it uses less digits than its factorization.

6149487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51714 (or 51700 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6149487360 is about 78418.6671654141. The cubic root of 6149487360 is about 1832.0878913866.

The spelling of 6149487360 in words is "six billion, one hundred forty-nine million, four hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 19840 23808 29760 39680 51659 59520 103318 119040 154977 206636 258295 309954 413272 516590 619908 774885 826544 1033180 1239816 1549770 1601429 1653088 2066360 2479632 3099540 3202858 3306176 4132720 4804287 4959264 6199080 6405716 6612352 8007145 8265440 9608574 9918528 12398160 12811432 13224704 16014290 16530880 19217148 19837056 24021435 24796320 25622864 32028580 33061760 38434296 39674112 48042870 49592640 51245728 64057160 66123520 76868592 96085740 99185280 102491456 128114320 153737184 192171480 198370560 204982912 256228640 307474368 384342960 409965824 512457280 614948736 768685920 1024914560 1229897472 1537371840 2049829120 3074743680 6149487360