Search a number
-
+
932840040 = 2335111016997
BaseRepresentation
bin110111100110100…
…000001001101000
32102000022011222010
4313212200021220
53402301340130
6232321555520
732055003156
oct6746401150
92360264863
10932840040
11439622590
122204a5ba0
1311b354272
148bc683d6
1556d670b0
hex379a0268

932840040 has 128 divisors (see below), whose sum is σ = 3083598720. Its totient is φ = 223872000.

The previous prime is 932840023. The next prime is 932840057. The reversal of 932840040 is 40048239.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (932840023) and next prime (932840057).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 129822 + ... + 136818.

It is an arithmetic number, because the mean of its divisors is an integer number (24090615).

Almost surely, 2932840040 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 932840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541799360).

932840040 is an abundant number, since it is smaller than the sum of its proper divisors (2150758680).

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

932840040 is a wasteful number, since it uses less digits than its factorization.

932840040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 932840040 is about 30542.4301587153. The cubic root of 932840040 is about 977.0926047869.

Adding to 932840040 its reverse (40048239), we get a palindrome (972888279).

The spelling of 932840040 in words is "nine hundred thirty-two million, eight hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 6997 8888 11110 12120 13332 13994 16665 20991 22220 26664 27988 33330 34985 41982 44440 55976 66660 69970 76967 83964 104955 133320 139940 153934 167928 209910 230901 279880 307868 384835 419820 461802 615736 706697 769670 839640 923604 1154505 1413394 1539340 1847208 2120091 2309010 2826788 3078680 3533485 4240182 4618020 5653576 7066970 7773667 8480364 9236040 10600455 14133940 15547334 16960728 21200910 23321001 28267880 31094668 38868335 42401820 46642002 62189336 77736670 84803640 93284004 116605005 155473340 186568008 233210010 310946680 466420020 932840040