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86211390 = 2355359919
BaseRepresentation
bin1010010001101…
…11101100111110
320000012222210110
411020313230332
5134032231030
612315450450
72064533106
oct510675476
9200188713
1086211390
1144733991
1224a56a26
1314b26675
14b642206
15787e1b0
hex5237b3e

86211390 has 64 divisors (see below), whose sum is σ = 214617600. Its totient is φ = 22149504.

The previous prime is 86211373. The next prime is 86211409. The reversal of 86211390 is 9311268.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93351 + ... + 94269.

It is an arithmetic number, because the mean of its divisors is an integer number (3353400).

Almost surely, 286211390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86211390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107308800).

86211390 is an abundant number, since it is smaller than the sum of its proper divisors (128406210).

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

86211390 is a wasteful number, since it uses less digits than its factorization.

86211390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 86211390 is about 9285.0088852946. The cubic root of 86211390 is about 441.7618578889.

It can be divided in two parts, 8621 and 1390, that added together give a triangular number (10011 = T141).

The spelling of 86211390 in words is "eighty-six million, two hundred eleven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 59 106 118 159 177 265 295 318 354 530 590 795 885 919 1590 1770 1838 2757 3127 4595 5514 6254 9190 9381 13785 15635 18762 27570 31270 46905 48707 54221 93810 97414 108442 146121 162663 243535 271105 292242 325326 487070 542210 730605 813315 1461210 1626630 2873713 5747426 8621139 14368565 17242278 28737130 43105695 86211390