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211274040 = 23355932969
BaseRepresentation
bin11001001011111…
…00100100111000
3112201112211111110
430211330210320
5413041232130
632544200320
75143541205
oct1445744470
9481484443
10211274040
11a929334a
125a9090a0
1334a03a33
14200b8cac
1513834ab0
hexc97c938

211274040 has 64 divisors (see below), whose sum is σ = 635104800. Its totient is φ = 56225792.

The previous prime is 211274027. The next prime is 211274047. The reversal of 211274040 is 40472112.

It is a happy number.

211274040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211273998 and 211274016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211274047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69676 + ... + 72644.

Almost surely, 2211274040 is an apocalyptic number.

211274040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211274040 is an abundant number, since it is smaller than the sum of its proper divisors (423830760).

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

211274040 is a wasteful number, since it uses less digits than its factorization.

211274040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 211274040 is about 14535.2688313633. The cubic root of 211274040 is about 595.5918034318.

The spelling of 211274040 in words is "two hundred eleven million, two hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 593 1186 1779 2372 2965 2969 3558 4744 5930 5938 7116 8895 8907 11860 11876 14232 14845 17790 17814 23720 23752 29690 35580 35628 44535 59380 71160 71256 89070 118760 178140 356280 1760617 3521234 5281851 7042468 8803085 10563702 14084936 17606170 21127404 26409255 35212340 42254808 52818510 70424680 105637020 211274040