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16420360 = 2351167557
BaseRepresentation
bin111110101000…
…111000001000
31010220020111111
4332220320020
513200422420
61343540104
7256366525
oct76507010
933806444
1016420360
1192a5950
1255ba634
13352bcb8
14227614c
15169545a
hexfa8e08

16420360 has 64 divisors (see below), whose sum is σ = 40979520. Its totient is φ = 5871360.

The previous prime is 16420333. The next prime is 16420373. The reversal of 16420360 is 6302461.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29202 + ... + 29758.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 216420360 is an apocalyptic number.

16420360 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 16420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

16420360 is an abundant number, since it is smaller than the sum of its proper divisors (24559160).

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

16420360 is a wasteful number, since it uses less digits than its factorization.

16420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 16420360 is about 4052.2043383818. The cubic root of 16420360 is about 254.1719132961.

The spelling of 16420360 in words is "sixteen million, four hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 557 670 737 1114 1340 1474 2228 2680 2785 2948 3685 4456 5570 5896 6127 7370 11140 12254 14740 22280 24508 29480 30635 37319 49016 61270 74638 122540 149276 186595 245080 298552 373190 410509 746380 821018 1492760 1642036 2052545 3284072 4105090 8210180 16420360