Search a number
-
+
396969760 = 25511283797
BaseRepresentation
bin10111101010010…
…100011100100000
31000122222011010201
4113222110130200
51303111013020
6103220234544
712560121145
oct2752243440
91018864121
10396969760
11194096290
12b0b3ba54
1364320265
143aa163cc
1524cb5a0a
hex17a94720

396969760 has 96 divisors (see below), whose sum is σ = 1028002752. Its totient is φ = 143662080.

The previous prime is 396969757. The next prime is 396969763. The reversal of 396969760 is 67969693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396969757) and next prime (396969763).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (396969763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497682 + ... + 498478.

It is an arithmetic number, because the mean of its divisors is an integer number (10708362).

Almost surely, 2396969760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514001376).

396969760 is an abundant number, since it is smaller than the sum of its proper divisors (631032992).

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

396969760 is a wasteful number, since it uses less digits than its factorization.

396969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 55.

The square root of 396969760 is about 19924.0999796729. The cubic root of 396969760 is about 734.9409982409.

The spelling of 396969760 in words is "three hundred ninety-six million, nine hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 283 352 440 566 797 880 1132 1415 1594 1760 2264 2830 3113 3188 3985 4528 5660 6226 6376 7970 8767 9056 11320 12452 12752 15565 15940 17534 22640 24904 25504 31130 31880 35068 43835 45280 49808 62260 63760 70136 87670 99616 124520 127520 140272 175340 225551 249040 280544 350680 451102 498080 701360 902204 1127755 1402720 1804408 2255510 2481061 3608816 4511020 4962122 7217632 9022040 9924244 12405305 18044080 19848488 24810610 36088160 39696976 49621220 79393952 99242440 198484880 396969760