Search a number
-
+
16096440 = 2335314327
BaseRepresentation
bin111101011001…
…110010111000
31010021210011110
4331121302320
513110041230
61333000320
7253550253
oct75316270
933253143
1016096440
1190a4548
1254830a0
133447729
1421d009a
15162e4b0
hexf59cb8

16096440 has 64 divisors (see below), whose sum is σ = 49858560. Its totient is φ = 4152960.

The previous prime is 16096429. The next prime is 16096463. The reversal of 16096440 is 4469061.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 16096398 and 16096407.

It is a congruent number.

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, 1557 + ... + 5883.

It is an arithmetic number, because the mean of its divisors is an integer number (779040).

Almost surely, 216096440 is an apocalyptic number.

16096440 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 16096440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929280).

16096440 is an abundant number, since it is smaller than the sum of its proper divisors (33762120).

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

16096440 is a wasteful number, since it uses less digits than its factorization.

16096440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 16096440 is about 4012.0368891624. The cubic root of 16096440 is about 252.4894744493.

The spelling of 16096440 in words is "sixteen million, ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4327 8654 12981 17308 21635 25962 34616 43270 51924 64905 86540 103848 129810 134137 173080 259620 268274 402411 519240 536548 670685 804822 1073096 1341370 1609644 2012055 2682740 3219288 4024110 5365480 8048220 16096440