[go: up one dir, main page]

Search a number
-
+
16401630 = 235783941
BaseRepresentation
bin111110100100…
…010011011110
31010212021210210
4332210103132
513144323010
61343313250
7256261110
oct76442336
933767723
1016401630
119292873
1255ab826
13352360b
14226d3b0
15168eb20
hexfa44de

16401630 has 64 divisors (see below), whose sum is σ = 45577728. Its totient is φ = 3699840.

The previous prime is 16401589. The next prime is 16401641. The reversal of 16401630 is 3610461.

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

It is a junction number, because it is equal to n+sod(n) for n = 16401597 and 16401606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16960 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (712152).

Almost surely, 216401630 is an apocalyptic number.

16401630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16401630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788864).

16401630 is an abundant number, since it is smaller than the sum of its proper divisors (29176098).

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

16401630 is a wasteful number, since it uses less digits than its factorization.

16401630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 16401630 is about 4049.8925911683. The cubic root of 16401630 is about 254.0752355300.

The spelling of 16401630 in words is "sixteen million, four hundred one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 941 1162 1245 1743 1882 2490 2823 2905 3486 4705 5646 5810 6587 8715 9410 13174 14115 17430 19761 28230 32935 39522 65870 78103 98805 156206 197610 234309 390515 468618 546721 781030 1093442 1171545 1640163 2343090 2733605 3280326 5467210 8200815 16401630