Search a number
-
+
1960447068 = 22323167157167
BaseRepresentation
bin111010011011010…
…0000110001011100
312001121221000210200
41310312200301130
513003333301233
6522311103500
766403345056
oct16466406134
95047830720
101960447068
11916691998
12468671b90
13253209168
141485208d6
15b719d313
hex74da0c5c

1960447068 has 144 divisors (see below), whose sum is σ = 5256136704. Its totient is φ = 615288960.

The previous prime is 1960447063. The next prime is 1960447079. The reversal of 1960447068 is 8607440691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960447063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11739121 + ... + 11739287.

Almost surely, 21960447068 is an apocalyptic number.

1960447068 is a gapful number since it is divisible by the number (18) 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 1960447068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628068352).

1960447068 is an abundant number, since it is smaller than the sum of its proper divisors (3295689636).

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

1960447068 is a wasteful number, since it uses less digits than its factorization.

1960447068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1960447068 is about 44276.9360728585. The cubic root of 1960447068 is about 1251.5600932505.

The spelling of 1960447068 in words is "one billion, nine hundred sixty million, four hundred forty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 157 167 186 201 268 279 314 334 372 402 471 501 558 603 628 668 804 942 1002 1116 1206 1413 1503 1884 2004 2077 2412 2826 3006 4154 4867 5177 5652 6012 6231 8308 9734 10354 10519 11189 12462 14601 15531 18693 19468 20708 21038 22378 24924 26219 29202 31062 31557 33567 37386 42076 43803 44756 46593 52438 58404 62124 63114 67134 74772 78657 87606 93186 94671 100701 104876 126228 134268 157314 175212 186372 189342 201402 235971 314628 326089 346859 378684 402804 471942 652178 693718 812789 943884 978267 1040577 1304356 1387436 1625578 1756673 1956534 2081154 2438367 2934801 3121731 3251156 3513346 3913068 4162308 4876734 5270019 5869602 6243462 7026692 7315101 9753468 10540038 11739204 12486924 14630202 15810057 21080076 29260404 31620114 54456863 63240228 108913726 163370589 217827452 326741178 490111767 653482356 980223534 1960447068