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202427940 = 2235111323593
BaseRepresentation
bin11000001000011…
…00111000100100
3112002220101221010
430010030320210
5403310143230
632030422220
75005415631
oct1404147044
9462811833
10202427940
11a42a1120
1257961970
1332c27460
141cc55188
1512b889b0
hexc10ce24

202427940 has 96 divisors (see below), whose sum is σ = 665917056. Its totient is φ = 45296640.

The previous prime is 202427909. The next prime is 202427977. The reversal of 202427940 is 49724202.

202427940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202427898 and 202427907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3217 + ... + 20376.

It is an arithmetic number, because the mean of its divisors is an integer number (6936636).

Almost surely, 2202427940 is an apocalyptic number.

202427940 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 202427940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332958528).

202427940 is an abundant number, since it is smaller than the sum of its proper divisors (463489116).

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

202427940 is a wasteful number, since it uses less digits than its factorization.

202427940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23629 (or 23627 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 202427940 is about 14227.7173151564. The cubic root of 202427940 is about 587.1604822663.

It can be divided in two parts, 20242 and 7940, that added together give a palindrome (28182).

The spelling of 202427940 in words is "two hundred two million, four hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 23593 47186 70779 94372 117965 141558 235930 259523 283116 306709 353895 471860 519046 613418 707790 778569 920127 1038092 1226836 1297615 1415580 1533545 1557138 1840254 2595230 3067090 3114276 3373799 3680508 3892845 4600635 5190460 6134180 6747598 7785690 9201270 10121397 13495196 15571380 16868995 18402540 20242794 33737990 40485588 50606985 67475980 101213970 202427940