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6141690 = 233523243
BaseRepresentation
bin10111011011011011111010
3102120000211000
4113123123322
53033013230
6335345430
7103126542
oct27333372
912500730
106141690
113515385
122082276
131370649
14b5c322
15814b60
hex5db6fa

6141690 has 96 divisors (see below), whose sum is σ = 17519040. Its totient is φ = 1530144.

The previous prime is 6141679. The next prime is 6141691. The reversal of 6141690 is 961416.

6141690 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×61416902 = 75440712112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6141691) 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, 142809 + ... + 142851.

It is an arithmetic number, because the mean of its divisors is an integer number (182490).

Almost surely, 26141690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759520).

6141690 is an abundant number, since it is smaller than the sum of its proper divisors (11377350).

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

6141690 is a wasteful number, since it uses less digits than its factorization.

6141690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6141690 is about 2478.2433294574. The cubic root of 6141690 is about 183.1313220258.

It can be divided in two parts, 614 and 1690, that added together give a square (2304 = 482).

The spelling of 6141690 in words is "six million, one hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 43 45 46 54 69 86 90 115 129 135 138 207 215 230 258 270 345 387 414 430 529 621 645 690 774 989 1035 1058 1161 1242 1290 1587 1935 1978 2070 2322 2645 2967 3105 3174 3870 4761 4945 5290 5805 5934 6210 7935 8901 9522 9890 11610 14283 14835 15870 17802 22747 23805 26703 28566 29670 44505 45494 47610 53406 68241 71415 89010 113735 133515 136482 142830 204723 227470 267030 341205 409446 614169 682410 1023615 1228338 2047230 3070845 6141690