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16414680 = 2335373697
BaseRepresentation
bin111110100111…
…011111011000
31010212221201010
4332213133120
513200232210
61343453520
7256344132
oct76473730
933787633
1016414680
1192a1657
1255b72a0
133529539
142274052
151693920
hexfa77d8

16414680 has 64 divisors (see below), whose sum is σ = 50588640. Its totient is φ = 4257792.

The previous prime is 16414679. The next prime is 16414687. The reversal of 16414680 is 8641461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16414687) 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, 2592 + ... + 6288.

Almost surely, 216414680 is an apocalyptic number.

16414680 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 16414680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294320).

16414680 is an abundant number, since it is smaller than the sum of its proper divisors (34173960).

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

16414680 is a wasteful number, since it uses less digits than its factorization.

16414680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16414680 is about 4051.5034246561. The cubic root of 16414680 is about 254.1426028757.

The spelling of 16414680 in words is "sixteen million, four hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 3697 4440 7394 11091 14788 18485 22182 29576 36970 44364 55455 73940 88728 110910 136789 147880 221820 273578 410367 443640 547156 683945 820734 1094312 1367890 1641468 2051835 2735780 3282936 4103670 5471560 8207340 16414680