Search a number
-
+
19973016 = 23327231723
BaseRepresentation
bin100110000110…
…0001110011000
31101120201211100
41030030032120
520103114031
61552031400
7331524240
oct114141630
941521740
1019973016
1110302028
126832560
1341a406b
14291cb20
151b47de6
hex130c398

19973016 has 96 divisors (see below), whose sum is σ = 64546560. Its totient is φ = 5455296.

The previous prime is 19972987. The next prime is 19973029. The reversal of 19973016 is 61037991.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10731 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (672360).

Almost surely, 219973016 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 19973016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32273280).

19973016 is an abundant number, since it is smaller than the sum of its proper divisors (44573544).

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

19973016 is a wasteful number, since it uses less digits than its factorization.

19973016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 19973016 is about 4469.1180337959. The cubic root of 19973016 is about 271.3196303082.

The spelling of 19973016 in words is "nineteen million, nine hundred seventy-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1723 1932 2898 3446 3864 5169 5796 6892 10338 11592 12061 13784 15507 20676 24122 31014 36183 39629 41352 48244 62028 72366 79258 96488 108549 118887 124056 144732 158516 217098 237774 277403 289464 317032 356661 434196 475548 554806 713322 832209 868392 951096 1109612 1426644 1664418 2219224 2496627 2853288 3328836 4993254 6657672 9986508 19973016