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21417672 = 2333789271
BaseRepresentation
bin101000110110…
…0111011001000
31111022010112010
41101230323020
520440331142
62043015520
7350022123
oct121547310
944263463
1021417672
11110a9461
12720a5a0
13458b7a3
142bb73ba
151d30e9c
hex146cec8

21417672 has 64 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 6842880.

The previous prime is 21417667. The next prime is 21417679. The reversal of 21417672 is 27671412.

It is not an unprimeable number, because it can be changed into a prime (21417679) 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, 78897 + ... + 79167.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 221417672 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 21417672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

21417672 is an abundant number, since it is smaller than the sum of its proper divisors (34396728).

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

21417672 is a wasteful number, since it uses less digits than its factorization.

21417672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 21417672 is about 4627.9230762838. The cubic root of 21417672 is about 277.7095114495.

The spelling of 21417672 in words is "twenty-one million, four hundred seventeen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 271 296 356 444 534 542 712 813 888 1068 1084 1626 2136 2168 3252 3293 6504 6586 9879 10027 13172 19758 20054 24119 26344 30081 39516 40108 48238 60162 72357 79032 80216 96476 120324 144714 192952 240648 289428 578856 892403 1784806 2677209 3569612 5354418 7139224 10708836 21417672