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21146020 = 22571311153
BaseRepresentation
bin101000010101…
…0100110100100
31110210022212221
41100222212210
520403133040
62033122124
7344511130
oct120524644
943708787
1021146020
1110a33355
1270b9344
1344c4c4c
142b463c0
151cca74a
hex142a9a4

21146020 has 48 divisors (see below), whose sum is σ = 51182208. Its totient is φ = 7188480.

The previous prime is 21145991. The next prime is 21146023. The reversal of 21146020 is 2064112.

It is a junction number, because it is equal to n+sod(n) for n = 21145985 and 21146003.

It is not an unprimeable number, because it can be changed into a prime (21146023) 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, 17764 + ... + 18916.

It is an arithmetic number, because the mean of its divisors is an integer number (1066296).

Almost surely, 221146020 is an apocalyptic number.

21146020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21146020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25591104).

21146020 is an abundant number, since it is smaller than the sum of its proper divisors (30036188).

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

21146020 is a wasteful number, since it uses less digits than its factorization.

21146020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 21146020 is about 4598.4801837129. The cubic root of 21146020 is about 276.5303985318.

The spelling of 21146020 in words is "twenty-one million, one hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1153 1310 1834 2306 2620 3668 4585 4612 5765 8071 9170 11530 16142 18340 23060 32284 40355 80710 151043 161420 302086 604172 755215 1057301 1510430 2114602 3020860 4229204 5286505 10573010 21146020