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21431088 = 2433719373
BaseRepresentation
bin101000111000…
…0001100110000
31111022210221000
41101300030300
520441243323
62043202000
7350106210
oct121601460
944283830
1021431088
1111108548
127216300
134594923
142bbc240
151d34e43
hex1470330

21431088 has 160 divisors (see below), whose sum is σ = 74201600. Its totient is φ = 5785344.

The previous prime is 21431063. The next prime is 21431099. The reversal of 21431088 is 88013412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57270 + ... + 57642.

It is an arithmetic number, because the mean of its divisors is an integer number (463760).

Almost surely, 221431088 is an apocalyptic number.

21431088 is a gapful number since it is divisible by the number (28) 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 21431088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37100800).

21431088 is an abundant number, since it is smaller than the sum of its proper divisors (52770512).

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

21431088 is a wasteful number, since it uses less digits than its factorization.

21431088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21431088 is about 4629.3723116639. The cubic root of 21431088 is about 277.7674849638.

The spelling of 21431088 in words is "twenty-one million, four hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 373 378 399 432 456 504 513 532 684 746 756 798 912 1008 1026 1064 1119 1197 1368 1492 1512 1596 2052 2128 2238 2394 2611 2736 2984 3024 3192 3357 3591 4104 4476 4788 5222 5968 6384 6714 7087 7182 7833 8208 8952 9576 10071 10444 13428 14174 14364 15666 17904 19152 20142 20888 21261 23499 26856 28348 28728 31332 40284 41776 42522 46998 49609 53712 56696 57456 62664 63783 70497 80568 85044 93996 99218 113392 125328 127566 140994 148827 161136 170088 187992 191349 198436 255132 281988 297654 340176 375984 382698 396872 446481 510264 563976 595308 765396 793744 892962 1020528 1127952 1190616 1339443 1530792 1785924 2381232 2678886 3061584 3571848 5357772 7143696 10715544 21431088