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16947984 = 243714973
BaseRepresentation
bin100000010100…
…1101100010000
31011220001021010
41000221230100
513314313414
61403130520
7264025014
oct100515420
934801233
1016947984
1196262a9
125813a40
1336851c1
142372544
15174b959
hex1029b10

16947984 has 40 divisors (see below), whose sum is σ = 44407872. Its totient is φ = 5568640.

The previous prime is 16947971. The next prime is 16948007. The reversal of 16947984 is 48974961.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 922 + ... + 5894.

Almost surely, 216947984 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 16947984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22203936).

16947984 is an abundant number, since it is smaller than the sum of its proper divisors (27459888).

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

16947984 is a wasteful number, since it uses less digits than its factorization.

16947984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5049 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 16947984 is about 4116.7929265388. The cubic root of 16947984 is about 256.8656405799.

The spelling of 16947984 in words is "sixteen million, nine hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 4973 9946 14919 19892 29838 39784 59676 79568 119352 238704 353083 706166 1059249 1412332 2118498 2824664 4236996 5649328 8473992 16947984