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19928340 = 22325195827
BaseRepresentation
bin100110000000…
…1010100010100
31101111110112200
41030001110110
520100201330
61551044500
7331250055
oct114012424
941443480
1019928340
1110281503
126810730
134189923
14290a72c
151b39a60
hex1301514

19928340 has 72 divisors (see below), whose sum is σ = 63641760. Its totient is φ = 5033664.

The previous prime is 19928339. The next prime is 19928347. The reversal of 19928340 is 4382991.

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 = 19928295 and 19928304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19928347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507 + ... + 6333.

Almost surely, 219928340 is an apocalyptic number.

19928340 is a gapful number since it is divisible by the number (10) 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 19928340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820880).

19928340 is an abundant number, since it is smaller than the sum of its proper divisors (43713420).

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

19928340 is a wasteful number, since it uses less digits than its factorization.

19928340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19928340 is about 4464.1169339523. The cubic root of 19928340 is about 271.1171817497.

The spelling of 19928340 in words is "nineteen million, nine hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 5827 11654 17481 23308 29135 34962 52443 58270 69924 87405 104886 110713 116540 174810 209772 221426 262215 332139 349620 442852 524430 553565 664278 996417 1048860 1107130 1328556 1660695 1992834 2214260 3321390 3985668 4982085 6642780 9964170 19928340