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116372340 = 223257194861
BaseRepresentation
bin1101110111110…
…11001101110100
322002222022211200
412323323031310
5214242403330
615314132500
72612101650
oct673731564
9262868750
10116372340
115a764297
1232b81130
131b156996
1411653a60
15a33aa60
hex6efb374

116372340 has 144 divisors (see below), whose sum is σ = 424744320. Its totient is φ = 25194240.

The previous prime is 116372303. The next prime is 116372351. The reversal of 116372340 is 43273611.

116372340 is a `hidden beast` number, since 1 + 1 + 637 + 23 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21510 + ... + 26370.

Almost surely, 2116372340 is an apocalyptic number.

116372340 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 116372340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212372160).

116372340 is an abundant number, since it is smaller than the sum of its proper divisors (308371980).

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

116372340 is a wasteful number, since it uses less digits than its factorization.

116372340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 116372340 is about 10787.6012162111. The cubic root of 116372340 is about 488.2211496533.

The spelling of 116372340 in words is "one hundred sixteen million, three hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 4861 5985 7980 9722 11970 14583 19444 23940 24305 29166 34027 43749 48610 58332 68054 72915 87498 92359 97220 102081 136108 145830 170135 174996 184718 204162 218745 277077 291660 306243 340270 369436 408324 437490 461795 510405 554154 612486 646513 680540 831231 874980 923590 1020810 1108308 1224972 1293026 1385385 1531215 1662462 1847180 1939539 2041620 2586052 2770770 3062430 3232565 3324924 3879078 4156155 5541540 5818617 6124860 6465130 7758156 8312310 9697695 11637234 12930260 16624620 19395390 23274468 29093085 38790780 58186170 116372340