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16945416 = 2333194129
BaseRepresentation
bin100000010100…
…1000100001000
31011212220202000
41000221010020
513314223131
61403111000
7264014355
oct100510410
934786660
1016945416
119624384
125812460
133683c97
14237162c
15174ace6
hex1029108

16945416 has 64 divisors (see below), whose sum is σ = 49560000. Its totient is φ = 5349888.

The previous prime is 16945403. The next prime is 16945429. The reversal of 16945416 is 61454961.

It is an interprime number because it is at equal distance from previous prime (16945403) and next prime (16945429).

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040 + ... + 6168.

It is an arithmetic number, because the mean of its divisors is an integer number (774375).

Almost surely, 216945416 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 16945416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24780000).

16945416 is an abundant number, since it is smaller than the sum of its proper divisors (32614584).

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

16945416 is a wasteful number, since it uses less digits than its factorization.

16945416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4153 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 16945416 is about 4116.4810214551. The cubic root of 16945416 is about 256.8526662878.

The spelling of 16945416 in words is "sixteen million, nine hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 4129 8258 12387 16516 24774 33032 37161 49548 74322 78451 99096 111483 148644 156902 222966 235353 297288 313804 445932 470706 627608 706059 891864 941412 1412118 1882824 2118177 2824236 4236354 5648472 8472708 16945416