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16913440 = 255372857
BaseRepresentation
bin100000010000…
…1010000100000
31011211021212201
41000201100200
513312212230
61402302544
7263522215
oct100412040
934737781
1016913440
119602355
1257b7a54
13367256b
142363b0c
1517415ca
hex1021420

16913440 has 48 divisors (see below), whose sum is σ = 41052312. Its totient is φ = 6580224.

The previous prime is 16913431. The next prime is 16913447. The reversal of 16913440 is 4431961.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 364816 = 4068^2 + 604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16913399 and 16913408.

It is not an unprimeable number, because it can be changed into a prime (16913447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4492 + ... + 7348.

Almost surely, 216913440 is an apocalyptic number.

16913440 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 16913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526156).

16913440 is an abundant number, since it is smaller than the sum of its proper divisors (24138872).

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

16913440 is a wasteful number, since it uses less digits than its factorization.

16913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 16913440 is about 4112.5952876499. The cubic root of 16913440 is about 256.6910042326.

The spelling of 16913440 in words is "sixteen million, nine hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2857 2960 5714 5920 11428 14285 22856 28570 45712 57140 91424 105709 114280 211418 228560 422836 457120 528545 845672 1057090 1691344 2114180 3382688 4228360 8456720 16913440