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83902068 = 223823139
BaseRepresentation
bin1010000000000…
…11111001110100
312211212200000000
411000003321310
5132434331233
612154151300
72036104305
oct500037164
9184780000
1083902068
11433a6958
1224122530
13144c84c3
14b2007ac
157574d13
hex5003e74

83902068 has 108 divisors (see below), whose sum is σ = 231460320. Its totient is φ = 26558928.

The previous prime is 83902061. The next prime is 83902069. The reversal of 83902068 is 86020938.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83902061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 603543 + ... + 603681.

Almost surely, 283902068 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 83902068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115730160).

83902068 is an abundant number, since it is smaller than the sum of its proper divisors (147558252).

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

83902068 is a wasteful number, since it uses less digits than its factorization.

83902068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83902068 is about 9159.8072032112. The cubic root of 83902068 is about 437.7816513486.

The spelling of 83902068 in words is "eighty-three million, nine hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 139 162 207 243 276 278 324 414 417 486 556 621 729 828 834 972 1242 1251 1458 1668 1863 2187 2484 2502 2916 3197 3726 3753 4374 5004 5589 6394 6561 7452 7506 8748 9591 11178 11259 12788 13122 15012 16767 19182 22356 22518 26244 28773 33534 33777 38364 45036 50301 57546 67068 67554 86319 100602 101331 115092 135108 150903 172638 201204 202662 258957 301806 303993 345276 405324 517914 603612 607986 776871 911979 1035828 1215972 1553742 1823958 2330613 3107484 3647916 4661226 6991839 9322452 13983678 20975517 27967356 41951034 83902068