Search a number
-
+
1440423680 = 2853121171
BaseRepresentation
bin101010111011011…
…0001111100000000
310201101102002211012
41111312301330000
510422222024210
6354533140052
750460253643
oct12566617400
93641362735
101440423680
1167a0996a3
1234248a628
1319c563107
14d9435a5a
15866cc305
hex55db1f00

1440423680 has 108 divisors (see below), whose sum is σ = 3568198536. Its totient is φ = 557107200.

The previous prime is 1440423671. The next prime is 1440423689. The reversal of 1440423680 is 863240441.

It is an interprime number because it is at equal distance from previous prime (1440423671) and next prime (1440423689).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440423689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1229495 + ... + 1230665.

Almost surely, 21440423680 is an apocalyptic number.

1440423680 is a gapful number since it is divisible by the number (10) 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 1440423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784099268).

1440423680 is an abundant number, since it is smaller than the sum of its proper divisors (2127774856).

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

1440423680 is an equidigital number, since it uses as much as digits as its factorization.

1440423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1440423680 is about 37952.9139856217. The cubic root of 1440423680 is about 1129.3539732820.

The spelling of 1440423680 in words is "one billion, four hundred forty million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 961 992 1171 1240 1280 1922 1984 2342 2480 3844 3968 4684 4805 4960 5855 7688 7936 9368 9610 9920 11710 15376 18736 19220 19840 23420 30752 36301 37472 38440 39680 46840 61504 72602 74944 76880 93680 123008 145204 149888 153760 181505 187360 246016 290408 299776 307520 363010 374720 580816 615040 726020 749440 1125331 1161632 1230080 1452040 1498880 2250662 2323264 2904080 4501324 4646528 5626655 5808160 9002648 9293056 11253310 11616320 18005296 22506620 23232640 36010592 45013240 46465280 72021184 90026480 144042368 180052960 288084736 360105920 720211840 1440423680