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83954130 = 23513229571
BaseRepresentation
bin1010000000100…
…00100111010010
312211222022102020
411000100213102
5132443013010
612155232310
72036412141
oct500204722
9184868366
1083954130
1143431a87
1224148696
1314516100
14b215758
157585470
hex50109d2

83954130 has 96 divisors (see below), whose sum is σ = 226100160. Its totient is φ = 19918080.

The previous prime is 83954119. The next prime is 83954137. The reversal of 83954130 is 3145938.

It is a junction number, because it is equal to n+sod(n) for n = 83954091 and 83954100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83954137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146745 + ... + 147315.

It is an arithmetic number, because the mean of its divisors is an integer number (2355210).

Almost surely, 283954130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83954130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113050080).

83954130 is an abundant number, since it is smaller than the sum of its proper divisors (142146030).

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

83954130 is a wasteful number, since it uses less digits than its factorization.

83954130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83954130 is about 9162.6486345379. The cubic root of 83954130 is about 437.8721817981.

The spelling of 83954130 in words is "eighty-three million, nine hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 169 174 195 290 338 377 390 435 507 571 754 845 870 1014 1131 1142 1690 1713 1885 2262 2535 2855 3426 3770 4901 5070 5655 5710 7423 8565 9802 11310 14703 14846 16559 17130 22269 24505 29406 33118 37115 44538 49010 49677 73515 74230 82795 96499 99354 111345 147030 165590 192998 215267 222690 248385 289497 430534 482495 496770 578994 645801 964990 1076335 1291602 1447485 2152670 2798471 2894970 3229005 5596942 6458010 8395413 13992355 16790826 27984710 41977065 83954130