[go: up one dir, main page]

Search a number
-
+
3698136 = 233413439
BaseRepresentation
bin1110000110110111011000
320221212220000
432012313120
51421320021
6211133000
743301511
oct16066730
96855800
103698136
1120a6512
1212a4160
139c6360
146c3a08
154d0b26
hex386dd8

3698136 has 80 divisors (see below), whose sum is σ = 11180400. Its totient is φ = 1135296.

The previous prime is 3698131. The next prime is 3698137. The reversal of 3698136 is 6318963.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 33 + 62 + 94 + 87 + 1 + 313 + 62 .

It is a self number, because there is not a number n which added to its sum of digits gives 3698136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8205 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (139755).

Almost surely, 23698136 is an apocalyptic number.

3698136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3698136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590200).

3698136 is an abundant number, since it is smaller than the sum of its proper divisors (7482264).

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

3698136 is a wasteful number, since it uses less digits than its factorization.

3698136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3698136 is about 1923.0538213997. The cubic root of 3698136 is about 154.6420599313.

The spelling of 3698136 in words is "three million, six hundred ninety-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 439 468 648 702 878 936 1053 1317 1404 1756 2106 2634 2808 3512 3951 4212 5268 5707 7902 8424 10536 11414 11853 15804 17121 22828 23706 31608 34242 35559 45656 47412 51363 68484 71118 94824 102726 136968 142236 154089 205452 284472 308178 410904 462267 616356 924534 1232712 1849068 3698136