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83570420 = 22531373643
BaseRepresentation
bin1001111101100…
…10111011110100
312211020211001202
410332302323310
5132343223140
612143112032
72033223353
oct476627364
9184224052
1083570420
114319a76a
1223ba2618
131441056b
14b15599a
15750b915
hex4fb2ef4

83570420 has 48 divisors (see below), whose sum is σ = 186106368. Its totient is φ = 31466880.

The previous prime is 83570407. The next prime is 83570437. The reversal of 83570420 is 2407538.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21119 + ... + 24761.

It is an arithmetic number, because the mean of its divisors is an integer number (3877216).

Almost surely, 283570420 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 83570420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93053184).

83570420 is an abundant number, since it is smaller than the sum of its proper divisors (102535948).

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

83570420 is a wasteful number, since it uses less digits than its factorization.

83570420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 83570420 is about 9141.6858401501. The cubic root of 83570420 is about 437.2040687165.

Adding to 83570420 its reverse (2407538), we get a palindrome (85977958).

The spelling of 83570420 in words is "eighty-three million, five hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 2294 3643 4588 5735 7286 11470 14572 18215 22940 36430 72860 112933 134791 225866 269582 451732 539164 564665 673955 1129330 1347910 2258660 2695820 4178521 8357042 16714084 20892605 41785210 83570420