Search a number
-
+
116375040 = 293255051
BaseRepresentation
bin1101110111110…
…11111000000000
322002222110112200
412323323320000
5214243000130
615314153200
72612112555
oct673737000
9262873480
10116375040
115a766321
1232b82800
131b157c92
1411654a2c
15a33b760
hex6efbe00

116375040 has 120 divisors (see below), whose sum is σ = 403119288. Its totient is φ = 31027200.

The previous prime is 116374957. The next prime is 116375041. The reversal of 116375040 is 40573611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 116374995 and 116375013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116375041) 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, 20515 + ... + 25565.

Almost surely, 2116375040 is an apocalyptic number.

116375040 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 116375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201559644).

116375040 is an abundant number, since it is smaller than the sum of its proper divisors (286744248).

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

116375040 is an equidigital number, since it uses as much as digits as its factorization.

116375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116375040 is about 10787.7263591546. The cubic root of 116375040 is about 488.2249254271.

The spelling of 116375040 in words is "one hundred sixteen million, three hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5051 5760 7680 10102 11520 15153 20204 23040 25255 30306 40408 45459 50510 60612 75765 80816 90918 101020 121224 151530 161632 181836 202040 227295 242448 303060 323264 363672 404080 454590 484896 606120 646528 727344 808160 909180 969792 1212240 1293056 1454688 1616320 1818360 1939584 2424480 2586112 2909376 3232640 3636720 3879168 4848960 5818752 6465280 7273440 7758336 9697920 11637504 12930560 14546880 19395840 23275008 29093760 38791680 58187520 116375040