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210751420 = 2251119127397
BaseRepresentation
bin11001000111111…
…00111110111100
3112200120021121011
430203330332330
5412423021140
632525045004
75136233425
oct1443747674
9480507534
10210751420
11a8a66730
125a6b6764
133487cba9
141ddc064c
151377ecea
hexc8fcfbc

210751420 has 96 divisors (see below), whose sum is σ = 513515520. Its totient is φ = 71850240.

The previous prime is 210751417. The next prime is 210751421. The reversal of 210751420 is 24157012.

It is a happy number.

It is a super-2 number, since 2×2107514202 = 88832322064032800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 210751391 and 210751400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210751421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530662 + ... + 531058.

It is an arithmetic number, because the mean of its divisors is an integer number (5349120).

Almost surely, 2210751420 is an apocalyptic number.

210751420 is a gapful number since it is divisible by the number (20) 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 210751420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256757760).

210751420 is an abundant number, since it is smaller than the sum of its proper divisors (302764100).

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

210751420 is a wasteful number, since it uses less digits than its factorization.

210751420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 210751420 is about 14517.2800482735. The cubic root of 210751420 is about 595.1003008652.

The spelling of 210751420 in words is "two hundred ten million, seven hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 127 190 209 220 254 380 397 418 508 635 794 836 1045 1270 1397 1588 1985 2090 2413 2540 2794 3970 4180 4367 4826 5588 6985 7543 7940 8734 9652 12065 13970 15086 17468 21835 24130 26543 27940 30172 37715 43670 48260 50419 53086 75430 82973 87340 100838 106172 132715 150860 165946 201676 252095 265430 331892 414865 504190 530860 554609 829730 957961 1008380 1109218 1659460 1915922 2218436 2773045 3831844 4789805 5546090 9579610 10537571 11092180 19159220 21075142 42150284 52687855 105375710 210751420