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21146772 = 22319137677
BaseRepresentation
bin101000010101…
…0110010010100
31110210100220210
41100222302110
520403144042
62033125420
7344513253
oct120526224
943710823
1021146772
1110a33979
1270b9870
1344c53aa
142b4679a
151ccaa9c
hex142ac94

21146772 has 48 divisors (see below), whose sum is σ = 52395840. Its totient is φ = 6619392.

The previous prime is 21146747. The next prime is 21146779. The reversal of 21146772 is 27764112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21146779) 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, 30898 + ... + 31574.

It is an arithmetic number, because the mean of its divisors is an integer number (1091580).

Almost surely, 221146772 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 21146772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26197920).

21146772 is an abundant number, since it is smaller than the sum of its proper divisors (31249068).

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

21146772 is a wasteful number, since it uses less digits than its factorization.

21146772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

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

The square root of 21146772 is about 4598.5619491315. The cubic root of 21146772 is about 276.5336765071.

The spelling of 21146772 in words is "twenty-one million, one hundred forty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 677 822 1354 1644 2031 2603 2708 4062 5206 7809 8124 10412 12863 15618 25726 31236 38589 51452 77178 92749 154356 185498 278247 370996 556494 1112988 1762231 3524462 5286693 7048924 10573386 21146772