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4131330 = 2357103191
BaseRepresentation
bin1111110000101000000010
321202220010020
433300220002
52024200310
6224314310
750054460
oct17605002
97686106
104131330
112371a25
121472996
13b18598
14797830
15569170
hex3f0a02

4131330 has 64 divisors (see below), whose sum is σ = 11501568. Its totient is φ = 930240.

The previous prime is 4131317. The next prime is 4131331. The reversal of 4131330 is 331314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21535 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (179712).

Almost surely, 24131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750784).

4131330 is an abundant number, since it is smaller than the sum of its proper divisors (7370238).

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

4131330 is a wasteful number, since it uses less digits than its factorization.

4131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 4131330 is about 2032.5673420578. The cubic root of 4131330 is about 160.4587096938.

Adding to 4131330 its reverse (331314), we get a palindrome (4462644).

The spelling of 4131330 in words is "four million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 191 206 210 309 382 515 573 618 721 955 1030 1146 1337 1442 1545 1910 2163 2674 2865 3090 3605 4011 4326 5730 6685 7210 8022 10815 13370 19673 20055 21630 39346 40110 59019 98365 118038 137711 196730 275422 295095 413133 590190 688555 826266 1377110 2065665 4131330