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63238140 = 223257311619
BaseRepresentation
bin1111000100111…
…0111111111100
311101222211102100
43301032333330
5112142110030
610135225100
71365341520
oct361167774
9141884370
1063238140
1132772829
1219218190
1310141b24
148581d80
155842360
hex3c4effc

63238140 has 144 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 13979520.

The previous prime is 63238139. The next prime is 63238163. The reversal of 63238140 is 4183236.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38251 + ... + 39869.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 263238140 is an apocalyptic number.

63238140 is a gapful number since it is divisible by the number (60) 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 63238140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

63238140 is an abundant number, since it is smaller than the sum of its proper divisors (163198980).

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

63238140 is a wasteful number, since it uses less digits than its factorization.

63238140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63238140 is about 7952.2411935253. The cubic root of 63238140 is about 398.4064516060.

The spelling of 63238140 in words is "sixty-three million, two hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1619 1860 1953 2170 2604 2790 3238 3255 3906 4340 4857 5580 6476 6510 7812 8095 9714 9765 11333 13020 14571 16190 19428 19530 22666 24285 29142 32380 33999 39060 45332 48570 50189 56665 58284 67998 72855 97140 100378 101997 113330 135996 145710 150567 169995 200756 203994 226660 250945 291420 301134 339990 351323 407988 451701 501890 509985 602268 679980 702646 752835 903402 1003780 1019970 1053969 1405292 1505670 1756615 1806804 2039940 2107938 2258505 3011340 3161907 3513230 4215876 4517010 5269845 6323814 7026460 9034020 10539690 12647628 15809535 21079380 31619070 63238140