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16400072 = 23131031531
BaseRepresentation
bin111110100011…
…111011001000
31010212012200002
4332203323020
513144300242
61343302132
7256253423
oct76437310
933765602
1016400072
119291687
1255aa948
1335229b0
14226c9ba
15168e432
hexfa3ec8

16400072 has 32 divisors (see below), whose sum is σ = 33458880. Its totient is φ = 7490880.

The previous prime is 16400047. The next prime is 16400093. The reversal of 16400072 is 27000461.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9947 + ... + 11477.

It is an arithmetic number, because the mean of its divisors is an integer number (1045590).

Almost surely, 216400072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16400072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729440).

16400072 is an abundant number, since it is smaller than the sum of its proper divisors (17058808).

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

16400072 is a wasteful number, since it uses less digits than its factorization.

16400072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 16400072 is about 4049.7002358199. The cubic root of 16400072 is about 254.0671903591.

The spelling of 16400072 in words is "sixteen million, four hundred thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 824 1339 1531 2678 3062 5356 6124 10712 12248 19903 39806 79612 157693 159224 315386 630772 1261544 2050009 4100018 8200036 16400072