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21940608 = 273173361
BaseRepresentation
bin101001110110…
…0100110000000
31112021200212010
41103230212000
521104044413
62102132520
7354330534
oct123544600
945250763
1021940608
1111426338
127421140
134712811
142cb1bc4
151dd5dc3
hex14ec980

21940608 has 64 divisors (see below), whose sum is σ = 61726320. Its totient is φ = 6881280.

The previous prime is 21940603. The next prime is 21940637. The reversal of 21940608 is 80604912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21940601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4848 + ... + 8208.

Almost surely, 221940608 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 21940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30863160).

21940608 is an abundant number, since it is smaller than the sum of its proper divisors (39785712).

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

21940608 is a wasteful number, since it uses less digits than its factorization.

21940608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21940608 is about 4684.0802725829. The cubic root of 21940608 is about 279.9515562449.

The spelling of 21940608 in words is "twenty-one million, nine hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 3361 6528 6722 10083 13444 20166 26888 40332 53776 57137 80664 107552 114274 161328 171411 215104 228548 322656 342822 430208 457096 645312 685644 914192 1290624 1371288 1828384 2742576 3656768 5485152 7313536 10970304 21940608