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3858140 = 22511131971
BaseRepresentation
bin1110101101111011011100
321021000101002
432231323130
51441430030
6214405432
744536136
oct16557334
97230332
103858140
1121a5750
121360878
13a51130
14726056
15513245
hex3adedc

3858140 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1209600.

The previous prime is 3858103. The next prime is 3858143. The reversal of 3858140 is 418583.

3858140 = T1 + T2 + ... + T284.

3858140 is a nontrivial binomial coefficient, being equal to C(286, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3858143) by changing a digit.

It is the 284-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54305 + ... + 54375.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23858140 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 3858140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3858140 is an abundant number, since it is smaller than the sum of its proper divisors (6302500).

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

3858140 is a wasteful number, since it uses less digits than its factorization.

3858140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 3858140 is about 1964.2148558648. The cubic root of 3858140 is about 156.8409006693.

The spelling of 3858140 in words is "three million, eight hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 71 76 95 110 130 142 143 190 209 220 247 260 284 286 355 380 418 494 572 710 715 781 836 923 988 1045 1235 1349 1420 1430 1562 1846 2090 2470 2698 2717 2860 3124 3692 3905 4180 4615 4940 5396 5434 6745 7810 9230 10153 10868 13490 13585 14839 15620 17537 18460 20306 26980 27170 29678 35074 40612 50765 54340 59356 70148 74195 87685 101530 148390 175370 192907 203060 296780 350740 385814 771628 964535 1929070 3858140