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21376032 = 2531072081
BaseRepresentation
bin101000110001…
…0110000100000
31111020000101220
41101202300200
520433013112
62042055040
7346456536
oct121426040
944200356
1021376032
1111080147
1271aa480
134575852
142ba6156
151d2398c
hex1462c20

21376032 has 48 divisors (see below), whose sum is σ = 56663712. Its totient is φ = 7055360.

The previous prime is 21376027. The next prime is 21376037. The reversal of 21376032 is 23067312.

It is an interprime number because it is at equal distance from previous prime (21376027) and next prime (21376037).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21375993 and 21376011.

It is not an unprimeable number, because it can be changed into a prime (21376037) 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, 9232 + ... + 11312.

It is an arithmetic number, because the mean of its divisors is an integer number (1180494).

Almost surely, 221376032 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 21376032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28331856).

21376032 is an abundant number, since it is smaller than the sum of its proper divisors (35287680).

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

21376032 is a wasteful number, since it uses less digits than its factorization.

21376032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 21376032 is about 4623.4221092174. The cubic root of 21376032 is about 277.5294214402.

It can be divided in two parts, 213 and 76032, that added together give a triangular number (76245 = T390).

The spelling of 21376032 in words is "twenty-one million, three hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2081 2568 3424 4162 5136 6243 8324 10272 12486 16648 24972 33296 49944 66592 99888 199776 222667 445334 668001 890668 1336002 1781336 2672004 3562672 5344008 7125344 10688016 21376032