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21153420 = 2233543911
BaseRepresentation
bin101000010110…
…0011010001100
31110210201001000
41100230122030
520403402140
62033220300
7344541531
oct120543214
943721030
1021153420
1110a38972
127101690
1344c8422
142b48d88
151ccca30
hex142c68c

21153420 has 96 divisors (see below), whose sum is σ = 67415040. Its totient is φ = 5503680.

The previous prime is 21153409. The next prime is 21153427. The reversal of 21153420 is 2435112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21153393 and 21153402.

It is not an unprimeable number, because it can be changed into a prime (21153427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22765 + ... + 23675.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 221153420 is an apocalyptic number.

21153420 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 21153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707520).

21153420 is an abundant number, since it is smaller than the sum of its proper divisors (46261620).

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

21153420 is a wasteful number, since it uses less digits than its factorization.

21153420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21153420 is about 4599.2847269983. The cubic root of 21153420 is about 276.5626518241.

Adding to 21153420 its reverse (2435112), we get a palindrome (23588532).

The spelling of 21153420 in words is "twenty-one million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 911 1161 1290 1548 1822 1935 2322 2580 2733 3644 3870 4555 4644 5466 5805 7740 8199 9110 10932 11610 13665 16398 18220 23220 24597 27330 32796 39173 40995 49194 54660 78346 81990 98388 117519 122985 156692 163980 195865 235038 245970 352557 391730 470076 491940 587595 705114 783460 1057671 1175190 1410228 1762785 2115342 2350380 3525570 4230684 5288355 7051140 10576710 21153420