Search a number
-
+
13963428 = 223471607
BaseRepresentation
bin110101010001…
…000010100100
3222021102020000
4311101002210
512033312203
61215141300
7226454463
oct65210244
928242200
1013963428
117977a26
124814830
132b7b8ab
141bd69da
15135c4a3
hexd510a4

13963428 has 60 divisors (see below), whose sum is σ = 37078272. Its totient is φ = 4581360.

The previous prime is 13963387. The next prime is 13963429. The reversal of 13963428 is 82436931.

13963428 is a `hidden beast` number, since 13 + 9 + 634 + 2 + 8 = 666.

It is a super-2 number, since 2×139634282 = 389954643022368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13963392 and 13963401.

It is not an unprimeable number, because it can be changed into a prime (13963429) 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, 22701 + ... + 23307.

Almost surely, 213963428 is an apocalyptic number.

13963428 is a gapful number since it is divisible by the number (18) 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 13963428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539136).

13963428 is an abundant number, since it is smaller than the sum of its proper divisors (23114844).

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

13963428 is a wasteful number, since it uses less digits than its factorization.

13963428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13963428 is about 3736.7670518779. The cubic root of 13963428 is about 240.8041774017.

The spelling of 13963428 in words is "thirteen million, nine hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 607 639 852 1214 1278 1821 1917 2428 2556 3642 3834 5463 5751 7284 7668 10926 11502 16389 21852 23004 32778 43097 49167 65556 86194 98334 129291 172388 196668 258582 387873 517164 775746 1163619 1551492 2327238 3490857 4654476 6981714 13963428