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21110140 = 2251973761
BaseRepresentation
bin101000010000…
…1110101111100
31110201111200001
41100201311330
520401011030
62032244044
7344301412
oct120416574
943644601
1021110140
1110a093a7
1270a0624
1344b180c
142b372b2
151cbecca
hex1421d7c

21110140 has 48 divisors (see below), whose sum is σ = 47365920. Its totient is φ = 7879680.

The previous prime is 21110129. The next prime is 21110149. The reversal of 21110140 is 4101112.

21110140 = T325 + T326 + ... + T543.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110149) 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, 27360 + ... + 28120.

It is an arithmetic number, because the mean of its divisors is an integer number (986790).

Almost surely, 221110140 is an apocalyptic number.

21110140 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 21110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682960).

21110140 is an abundant number, since it is smaller than the sum of its proper divisors (26255780).

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

21110140 is a wasteful number, since it uses less digits than its factorization.

21110140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 21110140 is about 4594.5772384410. The cubic root of 21110140 is about 276.3739068651.

Adding to 21110140 its reverse (4101112), we get a palindrome (25211252).

Subtracting from 21110140 its reverse (4101112), we obtain a triangular number (17009028 = T5832).

The spelling of 21110140 in words is "twenty-one million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 761 1387 1460 1522 2774 3044 3805 5548 6935 7610 13870 14459 15220 27740 28918 55553 57836 72295 111106 144590 222212 277765 289180 555530 1055507 1111060 2111014 4222028 5277535 10555070 21110140