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16979072 = 271131389
BaseRepresentation
bin100000011000…
…1010010000000
31011221121220112
41000301102000
513321312242
61403530452
7264214445
oct100612200
934847815
1016979072
1196476a0
125829a28
1336963b6
14237d9cc
151755c82
hex1031480

16979072 has 64 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 7449600.

The previous prime is 16979063. The next prime is 16979077. The reversal of 16979072 is 27097961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16979077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43454 + ... + 43842.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 216979072 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 16979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

16979072 is an abundant number, since it is smaller than the sum of its proper divisors (21209728).

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

16979072 is a wasteful number, since it uses less digits than its factorization.

16979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 16979072 is about 4120.5669512823. The cubic root of 16979072 is about 257.0226024422.

The spelling of 16979072 in words is "sixteen million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 389 496 682 704 778 992 1364 1408 1556 1984 2728 3112 3968 4279 5456 6224 8558 10912 12059 12448 17116 21824 24118 24896 34232 43648 48236 49792 68464 96472 132649 136928 192944 265298 273856 385888 530596 547712 771776 1061192 1543552 2122384 4244768 8489536 16979072