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16073040 = 2435193347
BaseRepresentation
bin111101010100…
…000101010000
31010020121001210
4331110011100
513103314130
61332300120
7253422114
oct75240520
933217053
1016073040
119088a05
125471640
133439b99
1421c5744
1516275b0
hexf54150

16073040 has 80 divisors (see below), whose sum is σ = 50228928. Its totient is φ = 4251648.

The previous prime is 16073027. The next prime is 16073053. The reversal of 16073040 is 4037061.

It is an interprime number because it is at equal distance from previous prime (16073027) and next prime (16073053).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×160730402 = 516685229683200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 16072998 and 16073016.

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, 46147 + ... + 46493.

Almost surely, 216073040 is an apocalyptic number.

16073040 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 16073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25114464).

16073040 is an abundant number, since it is smaller than the sum of its proper divisors (34155888).

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

16073040 is a wasteful number, since it uses less digits than its factorization.

16073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 16073040 is about 4009.1196041026. The cubic root of 16073040 is about 252.3670639653.

The spelling of 16073040 in words is "sixteen million, seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 347 386 579 694 772 965 1041 1158 1388 1544 1735 1930 2082 2316 2776 2895 3088 3470 3860 4164 4632 5205 5552 5790 6940 7720 8328 9264 10410 11580 13880 15440 16656 20820 23160 27760 41640 46320 66971 83280 133942 200913 267884 334855 401826 535768 669710 803652 1004565 1071536 1339420 1607304 2009130 2678840 3214608 4018260 5357680 8036520 16073040