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92083420 = 225112132927
BaseRepresentation
bin1010111110100…
…01010011011100
320102021022201001
411133101103130
5142033132140
613045400044
72165460532
oct537212334
9212238631
1092083420
1147a84700
1226a09024
1316101340
14c330152
15813de9a
hex57d14dc

92083420 has 72 divisors (see below), whose sum is σ = 228981312. Its totient is φ = 30898560.

The previous prime is 92083391. The next prime is 92083429. The reversal of 92083420 is 2438029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92083429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29997 + ... + 32923.

It is an arithmetic number, because the mean of its divisors is an integer number (3180296).

Almost surely, 292083420 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 92083420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114490656).

92083420 is an abundant number, since it is smaller than the sum of its proper divisors (136897892).

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

92083420 is a wasteful number, since it uses less digits than its factorization.

92083420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 92083420 is about 9596.0106294230. The cubic root of 92083420 is about 451.5721471461.

The spelling of 92083420 in words is "ninety-two million, eighty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 2927 3146 5854 6292 7865 11708 14635 15730 29270 31460 32197 38051 58540 64394 76102 128788 152204 160985 190255 321970 354167 380510 418561 643940 708334 761020 837122 1416668 1674244 1770835 2092805 3541670 4185610 4604171 7083340 8371220 9208342 18416684 23020855 46041710 92083420