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21161952 = 253373499
BaseRepresentation
bin101000010111…
…0011111100000
31110211010202000
41100232133200
520404140302
62033324000
7344605440
oct120563740
943733660
1021161952
1110a44319
127106600
1344cc286
142b4c120
151cd031c
hex142e7e0

21161952 has 96 divisors (see below), whose sum is σ = 70560000. Its totient is φ = 6044544.

The previous prime is 21161951. The next prime is 21161963. The reversal of 21161952 is 25916112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21161951) 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, 4299 + ... + 7797.

It is an arithmetic number, because the mean of its divisors is an integer number (735000).

Almost surely, 221161952 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 21161952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280000).

21161952 is an abundant number, since it is smaller than the sum of its proper divisors (49398048).

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

21161952 is a wasteful number, since it uses less digits than its factorization.

21161952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3511 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 21161952 is about 4600.2121690200. The cubic root of 21161952 is about 276.5998296638.

The spelling of 21161952 in words is "twenty-one million, one hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 3499 6048 6998 10497 13996 20994 24493 27992 31491 41988 48986 55984 62982 73479 83976 94473 97972 111968 125964 146958 167952 188946 195944 220437 251928 293916 335904 377892 391888 440874 503856 587832 661311 755784 783776 881748 1007712 1175664 1322622 1511568 1763496 2351328 2645244 3023136 3526992 5290488 7053984 10580976 21161952