Search a number
-
+
83143680 = 210355413
BaseRepresentation
bin1001111010010…
…10110000000000
312210110010200120
410331022300000
5132241044210
612130020240
72026465254
oct475126000
9183403616
1083143680
1142a29094
1223a17680
13142c1259
14b084264
157475270
hex4f4ac00

83143680 has 88 divisors (see below), whose sum is σ = 265978992. Its totient is φ = 22167552.

The previous prime is 83143679. The next prime is 83143691. The reversal of 83143680 is 8634138.

It is a super-3 number, since 3×831436803 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12654 + ... + 18066.

Almost surely, 283143680 is an apocalyptic number.

83143680 is a gapful number since it is divisible by the number (80) 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 83143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132989496).

83143680 is an abundant number, since it is smaller than the sum of its proper divisors (182835312).

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

83143680 is a wasteful number, since it uses less digits than its factorization.

83143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83143680 is about 9118.3156339315. The cubic root of 83143680 is about 436.4586257855.

The spelling of 83143680 in words is "eighty-three million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 5413 7680 10826 15360 16239 21652 27065 32478 43304 54130 64956 81195 86608 108260 129912 162390 173216 216520 259824 324780 346432 433040 519648 649560 692864 866080 1039296 1299120 1385728 1732160 2078592 2598240 2771456 3464320 4157184 5196480 5542912 6928640 8314368 10392960 13857280 16628736 20785920 27714560 41571840 83143680