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21996072 = 23327192297
BaseRepresentation
bin101001111101…
…0001000101000
31112101111221100
41103322020220
521112333242
62103241400
7354651330
oct123721050
945344840
1021996072
1111463a7a
127449260
134731b37
142cc80c0
151de754c
hex14fa228

21996072 has 96 divisors (see below), whose sum is σ = 71697600. Its totient is φ = 5951232.

The previous prime is 21996041. The next prime is 21996077. The reversal of 21996072 is 27069912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21996077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8428 + ... + 10724.

It is an arithmetic number, because the mean of its divisors is an integer number (746850).

Almost surely, 221996072 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 21996072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35848800).

21996072 is an abundant number, since it is smaller than the sum of its proper divisors (49701528).

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

21996072 is a wasteful number, since it uses less digits than its factorization.

21996072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 21996072 is about 4689.9970149244. The cubic root of 21996072 is about 280.1872556934.

The spelling of 21996072 in words is "twenty-one million, nine hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2297 2394 3192 4594 4788 6891 9188 9576 13782 16079 18376 20673 27564 32158 41346 43643 48237 55128 64316 82692 87286 96474 128632 130929 144711 165384 174572 192948 261858 289422 305501 349144 385896 392787 523716 578844 611002 785574 916503 1047432 1157688 1222004 1571148 1833006 2444008 2749509 3142296 3666012 5499018 7332024 10998036 21996072