Search a number
-
+
63422040 = 233511232089
BaseRepresentation
bin1111000111101…
…1111001011000
311102100011200110
43301323321120
5112214001130
610143204320
71400035623
oct361737130
9142304613
1063422040
1132888a10
12192a66a0
13101a7746
1485ccdba
15587bab0
hex3c7be58

63422040 has 128 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 14699520.

The previous prime is 63421993. The next prime is 63422071. The reversal of 63422040 is 4022436.

It is a junction number, because it is equal to n+sod(n) for n = 63421998 and 63422016.

It is a congruent number.

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, 29316 + ... + 31404.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 263422040 is an apocalyptic number.

63422040 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 63422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

63422040 is an abundant number, since it is smaller than the sum of its proper divisors (153269160).

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

63422040 is a wasteful number, since it uses less digits than its factorization.

63422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 63422040 is about 7963.7955774869. The cubic root of 63422040 is about 398.7922738304.

Adding to 63422040 its reverse (4022436), we get a palindrome (67444476).

The spelling of 63422040 in words is "sixty-three million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2089 2530 2760 3036 3795 4178 5060 6072 6267 7590 8356 10120 10445 12534 15180 16712 20890 22979 25068 30360 31335 41780 45958 48047 50136 62670 68937 83560 91916 96094 114895 125340 137874 144141 183832 192188 229790 240235 250680 275748 288282 344685 384376 459580 480470 528517 551496 576564 689370 720705 919160 960940 1057034 1153128 1378740 1441410 1585551 1921880 2114068 2642585 2757480 2882820 3171102 4228136 5285170 5765640 6342204 7927755 10570340 12684408 15855510 21140680 31711020 63422040