Search a number
-
+
16922040 = 2335831699
BaseRepresentation
bin100000010001…
…1010110111000
31011211201200020
41000203112320
513313001130
61402410440
7263556252
oct100432670
934751606
1016922040
119608863
125800a20
133676455
142366cd2
151743e10
hex10235b8

16922040 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 4455552.

The previous prime is 16922039. The next prime is 16922041. The reversal of 16922040 is 4022961.

It is an interprime number because it is at equal distance from previous prime (16922039) and next prime (16922041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16922040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16922041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9111 + ... + 10809.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 216922040 is an apocalyptic number.

16922040 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 16922040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

16922040 is an abundant number, since it is smaller than the sum of its proper divisors (34485960).

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

16922040 is a wasteful number, since it uses less digits than its factorization.

16922040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16922040 is about 4113.6407232523. The cubic root of 16922040 is about 256.7345035362.

The spelling of 16922040 in words is "sixteen million, nine hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1699 1992 2490 3320 3398 4980 5097 6796 8495 9960 10194 13592 16990 20388 25485 33980 40776 50970 67960 101940 141017 203880 282034 423051 564068 705085 846102 1128136 1410170 1692204 2115255 2820340 3384408 4230510 5640680 8461020 16922040