Search a number
-
+
4155060 = 2235713761
BaseRepresentation
bin1111110110011010110100
321211002200010
433312122310
52030430220
6225020220
750213610
oct17663264
97732603
104155060
112388838
121484670
13b26320
147a2340
155711e0
hex3f66b4

4155060 has 96 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 875520.

The previous prime is 4155049. The next prime is 4155061. The reversal of 4155060 is 605514.

It is a happy number.

It is a super-3 number, since 3×41550603 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155061) 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, 5080 + ... + 5840.

It is an arithmetic number, because the mean of its divisors is an integer number (149352).

Almost surely, 24155060 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 4155060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4155060 is an abundant number, since it is smaller than the sum of its proper divisors (10182732).

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

4155060 is a wasteful number, since it uses less digits than its factorization.

4155060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 4155060 is about 2038.3964285683. The cubic root of 4155060 is about 160.7653436364.

The spelling of 4155060 in words is "four million, one hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 761 780 910 1092 1365 1522 1820 2283 2730 3044 3805 4566 5327 5460 7610 9132 9893 10654 11415 15220 15981 19786 21308 22830 26635 29679 31962 39572 45660 49465 53270 59358 63924 69251 79905 98930 106540 118716 138502 148395 159810 197860 207753 277004 296790 319620 346255 415506 593580 692510 831012 1038765 1385020 2077530 4155060