Search a number
-
+
16914744 = 2335711113
BaseRepresentation
bin100000010000…
…1100100111000
31011211100200000
41000201210320
513312232434
61402313000
7263526060
oct100414470
934740600
1016914744
119603330
1257b8760
133673032
1423643a0
151741b99
hex1021938

16914744 has 192 divisors, whose sum is σ = 59754240. Its totient is φ = 4354560.

The previous prime is 16914739. The next prime is 16914761. The reversal of 16914744 is 44741961.

It is a super-2 number, since 2×169147442 = 572217129171072, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16914699 and 16914708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149632 + ... + 149744.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 216914744 is an apocalyptic number.

16914744 is a gapful number since it is divisible by the number (14) 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 16914744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

16914744 is an abundant number, since it is smaller than the sum of its proper divisors (42839496).

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

16914744 is a wasteful number, since it uses less digits than its factorization.

16914744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 16914744 is about 4112.7538219543. The cubic root of 16914744 is about 256.6976008892.

The spelling of 16914744 in words is "sixteen million, nine hundred fourteen thousand, seven hundred forty-four".