Search a number
-
+
16553628 = 223271331163
BaseRepresentation
bin111111001001…
…011010011100
31011011000022100
4333021122130
513214204003
61350445100
7260463210
oct77113234
934130270
1016553628
119386a93
125663790
133577860
1422ac940
1516beba3
hexfc969c

16553628 has 144 divisors (see below), whose sum is σ = 53487616. Its totient is φ = 4199040.

The previous prime is 16553599. The next prime is 16553633. The reversal of 16553628 is 82635561.

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 = 16553592 and 16553601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101475 + ... + 101637.

Almost surely, 216553628 is an apocalyptic number.

16553628 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 16553628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743808).

16553628 is an abundant number, since it is smaller than the sum of its proper divisors (36933988).

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

16553628 is a wasteful number, since it uses less digits than its factorization.

16553628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 16553628 is about 4068.6149977603. The cubic root of 16553628 is about 254.8576829859.

The spelling of 16553628 in words is "sixteen million, five hundred fifty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 163 182 186 217 234 252 273 279 326 364 372 403 434 468 489 546 558 651 652 806 819 868 978 1092 1116 1141 1209 1302 1467 1612 1638 1953 1956 2119 2282 2418 2604 2821 2934 3276 3423 3627 3906 4238 4564 4836 5053 5642 5868 6357 6846 7254 7812 8463 8476 10106 10269 11284 12714 13692 14508 14833 15159 16926 19071 20212 20538 25389 25428 29666 30318 33852 35371 38142 41076 44499 45477 50778 59332 60636 65689 70742 76284 88998 90954 101556 106113 131378 133497 141484 177996 181908 197067 212226 262756 266994 318339 394134 424452 459823 533988 591201 636678 788268 919646 1182402 1273356 1379469 1839292 2364804 2758938 4138407 5517876 8276814 16553628