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16629940 = 22519107409
BaseRepresentation
bin111111011100…
…000010110100
31011021212222201
4333130002310
513224124230
61352234244
7261231535
oct77340264
934255881
1016629940
119429358
12569b984
1335a3502
1422cc68c
1516d75ca
hexfdc0b4

16629940 has 48 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 6227712.

The previous prime is 16629937. The next prime is 16629941. The reversal of 16629940 is 4992661.

It is a self number, because there is not a number n which added to its sum of digits gives 16629940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16629941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40456 + ... + 40864.

It is an arithmetic number, because the mean of its divisors is an integer number (774900).

Almost surely, 216629940 is an apocalyptic number.

16629940 is a gapful number since it is divisible by the number (10) 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 16629940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597600).

16629940 is an abundant number, since it is smaller than the sum of its proper divisors (20565260).

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

16629940 is a wasteful number, since it uses less digits than its factorization.

16629940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 16629940 is about 4077.9823442482. The cubic root of 16629940 is about 255.2487128703.

The spelling of 16629940 in words is "sixteen million, six hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 214 380 409 428 535 818 1070 1636 2033 2045 2140 4066 4090 7771 8132 8180 10165 15542 20330 31084 38855 40660 43763 77710 87526 155420 175052 218815 437630 831497 875260 1662994 3325988 4157485 8314970 16629940