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83059240 = 2351121312
BaseRepresentation
bin1001111001101…
…10001000101000
312210021211212011
410330312020220
5132230343430
612124125304
72025664135
oct474661050
9183254764
1083059240
1142980700
1223996834
13142919a4
14b06158c
15745a22a
hex4f36228

83059240 has 72 divisors (see below), whose sum is σ = 206997210. Its totient is φ = 29972800.

The previous prime is 83059231. The next prime is 83059243. The reversal of 83059240 is 4295038.

It can be written as a sum of positive squares in only one way, i.e., 74753316 + 8305924 = 8646^2 + 2882^2 .

It is not an unprimeable number, because it can be changed into a prime (83059243) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 633975 + ... + 634105.

Almost surely, 283059240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83059240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103498605).

83059240 is an abundant number, since it is smaller than the sum of its proper divisors (123937970).

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

83059240 is a wasteful number, since it uses less digits than its factorization.

83059240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 83059240 is about 9113.6842166053. The cubic root of 83059240 is about 436.3108212067.

The spelling of 83059240 in words is "eighty-three million, fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 131 220 242 262 440 484 524 605 655 968 1048 1210 1310 1441 2420 2620 2882 4840 5240 5764 7205 11528 14410 15851 17161 28820 31702 34322 57640 63404 68644 79255 85805 126808 137288 158510 171610 188771 317020 343220 377542 634040 686440 755084 943855 1510168 1887710 2076481 3775420 4152962 7550840 8305924 10382405 16611848 20764810 41529620 83059240