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16149680 = 2452367131
BaseRepresentation
bin111101100110…
…110010110000
31010101111012022
4331212302300
513113242210
61334051012
7254161421
oct75466260
933344168
1016149680
119130548
1254a9a68
133465a31
142205648
151640155
hexf66cb0

16149680 has 80 divisors (see below), whose sum is σ = 40068864. Its totient is φ = 6040320.

The previous prime is 16149631. The next prime is 16149691. The reversal of 16149680 is 8694161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16149680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123215 + ... + 123345.

Almost surely, 216149680 is an apocalyptic number.

16149680 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 16149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432).

16149680 is an abundant number, since it is smaller than the sum of its proper divisors (23919184).

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

16149680 is a wasteful number, since it uses less digits than its factorization.

16149680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 16149680 is about 4018.6664454767. Note that the first 3 decimals coincide. The cubic root of 16149680 is about 252.7675431011.

The spelling of 16149680 in words is "sixteen million, one hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 67 80 92 115 131 134 184 230 262 268 335 368 460 524 536 655 670 920 1048 1072 1310 1340 1541 1840 2096 2620 2680 3013 3082 5240 5360 6026 6164 7705 8777 10480 12052 12328 15065 15410 17554 24104 24656 30130 30820 35108 43885 48208 60260 61640 70216 87770 120520 123280 140432 175540 201871 241040 351080 403742 702160 807484 1009355 1614968 2018710 3229936 4037420 8074840 16149680