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42415320 = 23353741233
BaseRepresentation
bin1010000111001…
…1010011011000
32221210220212210
42201303103120
541324242240
64113035120
71023344553
oct241632330
987726783
1042415320
1121a40292
1212255aa0
138a3102c
1458c169a
153acc780
hex28734d8

42415320 has 128 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 10690560.

The previous prime is 42415319. The next prime is 42415327. The reversal of 42415320 is 2351424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42415327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181924 + ... + 182156.

Almost surely, 242415320 is an apocalyptic number.

42415320 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 42415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42415320 is an abundant number, since it is smaller than the sum of its proper divisors (92031720).

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

42415320 is a wasteful number, since it uses less digits than its factorization.

42415320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42415320 is about 6512.7045073456. The cubic root of 42415320 is about 348.7446730343.

Adding to 42415320 its reverse (2351424), we get a palindrome (44766744).

The spelling of 42415320 in words is "forty-two million, four hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 41 60 74 82 111 120 123 148 164 185 205 222 233 246 296 328 370 410 444 466 492 555 615 699 740 820 888 932 984 1110 1165 1230 1398 1480 1517 1640 1864 2220 2330 2460 2796 3034 3495 4440 4551 4660 4920 5592 6068 6990 7585 8621 9102 9320 9553 12136 13980 15170 17242 18204 19106 22755 25863 27960 28659 30340 34484 36408 38212 43105 45510 47765 51726 57318 60680 68968 76424 86210 91020 95530 103452 114636 129315 143295 172420 182040 191060 206904 229272 258630 286590 344840 353461 382120 517260 573180 706922 1034520 1060383 1146360 1413844 1767305 2120766 2827688 3534610 4241532 5301915 7069220 8483064 10603830 14138440 21207660 42415320