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4215242040 = 23351032571327
BaseRepresentation
bin1111101100111111…
…0111110100111000
3101212202201111000120
43323033313310320
532113100221130
61534135133240
7206312652252
oct37317676470
911782644016
104215242040
111873437809
12997814220
135223b4579
142bdb82cd2
1519a0e0910
hexfb3f7d38

4215242040 has 128 divisors (see below), whose sum is σ = 12827842560. Its totient is φ = 1107984384.

The previous prime is 4215242033. The next prime is 4215242077. The reversal of 4215242040 is 402425124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4215242040.

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, 3175857 + ... + 3177183.

It is an arithmetic number, because the mean of its divisors is an integer number (100217520).

Almost surely, 24215242040 is an apocalyptic number.

4215242040 is a gapful number since it is divisible by the number (40) 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 4215242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413921280).

4215242040 is an abundant number, since it is smaller than the sum of its proper divisors (8612600520).

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

4215242040 is a wasteful number, since it uses less digits than its factorization.

4215242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4215242040 is about 64924.8953791995. The cubic root of 4215242040 is about 1615.3780313634.

Adding to 4215242040 its reverse (402425124), we get a palindrome (4617667164).

The spelling of 4215242040 in words is "four billion, two hundred fifteen million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 257 309 412 514 515 618 771 824 1028 1030 1236 1285 1327 1542 1545 2056 2060 2472 2570 2654 3084 3090 3855 3981 4120 5140 5308 6168 6180 6635 7710 7962 10280 10616 12360 13270 15420 15924 19905 26471 26540 30840 31848 39810 52942 53080 79413 79620 105884 132355 136681 158826 159240 211768 264710 273362 317652 341039 397065 410043 529420 546724 635304 682078 683405 794130 820086 1023117 1058840 1093448 1364156 1366810 1588260 1640172 1705195 2046234 2050215 2728312 2733620 3176520 3280344 3410390 4092468 4100430 5115585 5467240 6820780 8184936 8200860 10231170 13641560 16401720 20462340 35127017 40924680 70254034 105381051 140508068 175635085 210762102 281016136 351270170 421524204 526905255 702540340 843048408 1053810510 1405080680 2107621020 4215242040