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16770072 = 23311139457
BaseRepresentation
bin111111111110…
…010000011000
31011120000012210
4333332100120
513243120242
61355235120
7262354224
oct77762030
934500183
1016770072
119514670
125748aa0
133622227
142327784
151713d9c
hexffe418

16770072 has 64 divisors (see below), whose sum is σ = 46166400. Its totient is φ = 5034240.

The previous prime is 16770049. The next prime is 16770073. The reversal of 16770072 is 27007761.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16770073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36468 + ... + 36924.

It is an arithmetic number, because the mean of its divisors is an integer number (721350).

Almost surely, 216770072 is an apocalyptic number.

16770072 is a gapful number since it is divisible by the number (12) 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 16770072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083200).

16770072 is an abundant number, since it is smaller than the sum of its proper divisors (29396328).

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

16770072 is a wasteful number, since it uses less digits than its factorization.

16770072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 16770072 is about 4095.1278368324. The cubic root of 16770072 is about 255.9636585782.

The spelling of 16770072 in words is "sixteen million, seven hundred seventy thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 417 457 556 834 914 1112 1371 1529 1668 1828 2742 3058 3336 3656 4587 5027 5484 6116 9174 10054 10968 12232 15081 18348 20108 30162 36696 40216 60324 63523 120648 127046 190569 254092 381138 508184 698753 762276 1397506 1524552 2096259 2795012 4192518 5590024 8385036 16770072