Search a number
-
+
83403040 = 2557113659
BaseRepresentation
bin1001111100010…
…10000100100000
312210221022110111
410332022010200
5132322344130
612135341104
72031625360
oct476120440
9183838414
1083403040
1143095a36
1223b21794
1314382316
14b1109a0
1574c702a
hex4f8a120

83403040 has 96 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 28299264.

The previous prime is 83403031. The next prime is 83403053. The reversal of 83403040 is 4030438.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126231 + ... + 126889.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 283403040 is an apocalyptic number.

83403040 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 83403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

83403040 is an abundant number, since it is smaller than the sum of its proper divisors (144122720).

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

83403040 is a wasteful number, since it uses less digits than its factorization.

83403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 83403040 is about 9132.5264850424. The cubic root of 83403040 is about 436.9119871905.

Adding to 83403040 its reverse (4030438), we get a palindrome (87433478).

The spelling of 83403040 in words is "eighty-three million, four hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 659 791 904 1120 1130 1318 1582 1808 2260 2636 3164 3295 3616 3955 4520 4613 5272 6328 6590 7910 9040 9226 10544 12656 13180 15820 18080 18452 21088 23065 25312 26360 31640 36904 46130 52720 63280 73808 74467 92260 105440 126560 147616 148934 184520 297868 369040 372335 521269 595736 738080 744670 1042538 1191472 1489340 2085076 2382944 2606345 2978680 4170152 5212690 5957360 8340304 10425380 11914720 16680608 20850760 41701520 83403040