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21350628 = 22341337137
BaseRepresentation
bin101000101110…
…0100011100100
31111011201120000
41101130203210
520431210003
62041341300
7346322505
oct121344344
944151500
1021350628
1111063052
127197830
134567110
142b9abac
151d1b1a3
hex145c8e4

21350628 has 120 divisors (see below), whose sum is σ = 62183352. Its totient is φ = 6345216.

The previous prime is 21350621. The next prime is 21350629. The reversal of 21350628 is 82605312.

21350628 is a `hidden beast` number, since 2 + 1 + 35 + 0 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 16990884 = 2088^2 + 4122^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21350621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155776 + ... + 155912.

Almost surely, 221350628 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 21350628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31091676).

21350628 is an abundant number, since it is smaller than the sum of its proper divisors (40832724).

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

21350628 is a wasteful number, since it uses less digits than its factorization.

21350628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 21350628 is about 4620.6739768133. The cubic root of 21350628 is about 277.4194360724.

The spelling of 21350628 in words is "twenty-one million, three hundred fifty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 137 148 156 162 222 234 274 324 333 351 411 444 468 481 548 666 702 822 962 999 1053 1233 1332 1404 1443 1644 1781 1924 1998 2106 2466 2886 2997 3562 3699 3996 4212 4329 4932 5069 5343 5772 5994 7124 7398 8658 10138 10686 11097 11988 12987 14796 15207 16029 17316 20276 21372 22194 25974 30414 32058 38961 44388 45621 48087 51948 60828 64116 65897 77922 91242 96174 131794 136863 144261 155844 182484 192348 197691 263588 273726 288522 395382 410589 547452 577044 593073 790764 821178 1186146 1642356 1779219 2372292 3558438 5337657 7116876 10675314 21350628