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21007488 = 273227241
BaseRepresentation
bin101000000100…
…0110010000000
31110112021212010
41100020302000
520334214423
62030132520
7343363215
oct120106200
943467763
1021007488
1110949267
127051140
134476b88
142b0bb0c
151c9e693
hex1408c80

21007488 has 64 divisors (see below), whose sum is σ = 56279520. Its totient is φ = 6942720.

The previous prime is 21007463. The next prime is 21007499. The reversal of 21007488 is 88470012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87048 + ... + 87288.

Almost surely, 221007488 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 21007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139760).

21007488 is an abundant number, since it is smaller than the sum of its proper divisors (35272032).

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

21007488 is a wasteful number, since it uses less digits than its factorization.

21007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 21007488 is about 4583.3926299195. The cubic root of 21007488 is about 275.9252055258.

It can be divided in two parts, 2 and 1007488, that added together give a triangular number (1007490 = T1419).

The spelling of 21007488 in words is "twenty-one million, seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 241 384 454 482 681 723 908 964 1362 1446 1816 1928 2724 2892 3632 3856 5448 5784 7264 7712 10896 11568 14528 15424 21792 23136 29056 30848 43584 46272 54707 87168 92544 109414 164121 218828 328242 437656 656484 875312 1312968 1750624 2625936 3501248 5251872 7002496 10503744 21007488